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首页 求最小公倍数算法汇总

求最小公倍数算法汇总.doc

求最小公倍数算法汇总

Coco-Minnielh
2017-09-25 0人阅读 举报 0 0 暂无简介

简介:本文档为《求最小公倍数算法汇总doc》,可适用于综合领域

求最小公倍数算法汇总最小公倍数(LeastCommonMultiple缩写LCM)如果有一个自然数a能被自然数b整除则称a为b的倍数b为a的约数对于两个整数来说指该两数共有倍数中最小的一个。计算最小公倍数时通常会借助最大公约数来辅助计算。其中是最小的公倍数叫做他们的最小公倍数。例如十天干和十二地支混合称呼一阴历年干支循环回归同一名称的所需时间就是和的最小公倍数即是一个“甲子”。对分数进行加减运算时要求两数的分母相同才能计算故需要通分假如令两个分数的分母通分成最小公倍数计算量便最低。目录最小公倍数的求法专题简析计算机程序实现最小公倍数的求法短除法步骤:一、找出两数的最小公约数列短除式用最小公约数去除这两个数得二商二、找出二商的最小公约数用最小公约数去除二商得新一级二商三、以此类推直到二商为互质数四、将所有的公约数及最后的二商相乘所得积就是原二数的最小公倍数。例:求和的最小公倍数解:与的最小公约数为==与的最小公约数为==和互为质数×××=短除法是最常见的用法。也有其他的方法再用短除法是一定要超出他们的最大公倍数。质因数分解举例:和的最小公倍数=××=××必须用里面数字中的最大次方者像本题有和的立方所以必须使用的立方(也就是**)不能使用所以:××××=×=两数的最小公倍数是借助最大公约数求最小公倍数步骤:一、利用辗除法或其它方法求得最大公约数二、最小公倍数等于两数之积除以最大公约数。举例:和的最大公约数为×=两数的最小公倍数是专题简析几个数公有的倍数叫做这几个数的公倍数其中最小的一个公倍数叫做这几个数的最小公倍数。自然数a、b的最小公倍数可以记作a、b自然数a、b的最大公因数可以记作(a、b)当(a、b)=时a、b=a×b。两个数的最大公因数和最小公倍数有着下列关系:最大公因数×最小公倍数=两数的乘积即(a、b)×a、b=a×b要解答求最小公倍数的问题关键要根据题目中的已知条件对问题作全面的分析若要求的数对已知条件来说是处于被除数的地位通过就是求最小公倍数解题时要避免和最大公约数问题混淆。例题两个数的最大公因数是最小公倍数是求这两个数分别是多少,分析根据“两个数的最大公因数与最小公倍数的乘积等于这两个数的乘积(这里应该写错了吧,=根据下面的解答应该是这个意思)”可先求出这两个数的乘积再把这个积分解成两个数。根据题意:当ab分别是和时a、b分别为×=×=当ab分别是和lineofthebusthroughthelistofmadeamoredetailedprovisions,applymoreoperationalSevenisincreasedthearticle,inviolationoftherelevantprovisionsofthe,toparticipateinpublicfundstopayfordinner,highconsumptionofentertainment,fitnessactivitiesandpublicfundstobuygift,sendgiftstomaketheprovisionsofthedispositionOntheviolationofthecentralprovisionsofthespiritoftheeight,inadditionto><newregulationsinto"violationofhonestyandselfdiscipline"misconductoutside,isdifferentwiththeoriginal<Regulations>,revised<rule>clearlydefinednotonlytodispositionofthedirectlyresponsiblepersons,butalsodisposeofcollarGuideresponsibilities()increasedtradingrights,useofauthorityorpositioninfluenceasrelativesandclosetoprofitviolationofthetermsofthe<NewRegulations>absorption<cleanpoliticsseveralguidelines>therelevantprovisionsspirit,increasethe"negativelist,includingtradingrights,thefunctionsandpowersordutiesofinfluenceasrelativesandstaffaroundprofitIncreaseArticle"mutualuseofofficeorauthorityringforeachotherandtheirspouses,childrenandtheirspousesandotherrelatives,aroundpersonnelandotherspecificrelationshipbetweenthepeopletoseekbenefitsengageintradingrights,givenawarningorseriouswarningSanctionsifthecircumstancesarerelativelyserious,givingremovedfromorplacedonprobationwithinthepartypostifthecircumstancesareserious,shallbeexpelledfromthepartyIncreaseArticle"connivance,acquiescencetothespouse,childrenandspouseetcrelativesandstaffaroundtheeffectofPartymembersandcadrespersonalauthorityorpositionforpersonalgain,ifthecircumstancesarerelativelyminor,givenawarningoraseriouswarningifthecircumstancesarerelativelyserious,givingremovedfromorplacedonprobationwithinthepartypostifthecircumstancesareserious,thegivenExpelledfromthepartyPartymembersandcadresofthespouses,childrenandtheirspousesdoestheactualworkandgetsalaryoralthoughtheactualworkbuttoreceivesignificantlybeyondthesameranksalarystandard,Partymembersandcadresinformedfailstocorrect,inaccordancewiththeprovisionsoftheprecedingparagraph"()aboutthegifts,giftsmisconductfromhandlingpracticesinrecentyears,engagedinofficialcadresreceivedgifts,giftsproblemsmoreprominentThishasseriouslyaffectedtheimageofPartymembersandcadres,damagedtherelationsbetweenthepartyandthemasses,andisahotbedofcorruption,isreallynecessaryforthiskindofbehaviortobedisciplined<rule>noonacceptinggifts,gifts,Cardconsumptionbehaviortoengageinsimple"onesizefitsall",butthedifferencebetweenthedifferentseparatelyOneisinaccordancewiththeprovisionsofArticle,acceptingmayaffecttheimpartialenforcementoftheofficialgifts,gifts,consumercardstodependingontheseriousnessofthecaseshallbegivendisciplinarysanctionsThatistosay,formayaffectthefairexecutionofbusinessgifts,gifts,consumercardsarenotallowedtoacceptisinaccordancewiththeprovisionsofArticle,acceptingwassignificantlyhigherthannormalceremonyisstillexchangesofgifts,gifts,consumercardtodisciplinaryactionThisisnewregulationsthatdailylifeispurelyreciprocity,acceptingthesamething,boys,fellowfriendsgifts,gifts,shoppingcards,althoughandfairexecutionofbusinesshasnothingtodo,alsowanttoasthecaseshallbedealtwith,thesituationisobviouslybeyondnormalreciprocity"Thesocalled"reciprocity",oneisemphasizesthereciprocalinprotocolInotherwordsisyoutomehow,Itoyouhow,notonlydoesnotgoThesecondistosignificantlyexceededthenormallocaleconomylevel,customsandhabits,economiccapacityofindividualgifts,giftvalueSpecificsanctionstoaccordingtotheprocessingofavarietyoffactorstoconsider,asappropriateThethirdistherootaccordingtotheprovisionsofArticle,"toEngagedinpublicservicepersonnelandtheirspousesandchildren,children'sspousesandotherrelativesandotherspecificrelationshippresentedMingXianchaonormalreciprocityofgifts,gifts,consumercard,ifthecircumstancesarerelativelyserious,givenawarninguntilprobation"Inaccordancewiththeaboveprovisions,giftgivingsignificantlybeyondthenormalreciprocity,giverconstitutethediscipline()onillegaltradingofstocksorofotherregulationsofsecuritiesinvestment<>ArticleisengagedinpunishmentregulationofcampandactivityinviolationoftherelevantprovisionsonAmongthem,will"buyingandsellingstocksorinothersecuritiesinvestment"columnasoneofdisciplinarycasesOutFirstneedtobeclear,><regulationsdidnotchangetheprovisionsoftheOrdinanceTheordinanceoftheprovisionsofthesecondparagraphofArticleprovisions"who,inviolationoftheprovisionsofthesaleofstocks"isoneoftheviolation,andatthebeginningofthefirstparagraphofthisarticle"violationofagainsttherelevantprovisionsofthe"textualrepresentationoftherepeatrevisionIn,justfromthelegislativetechniqueremovedthe"personal"inviolationoftheprovisions,contentandnottochangetheoriginalprovisionsNeedtoclearis,"buyorsellastockorofothersecuritiesinvestment"referstoviolationoftherelevantprovisionsreferstoinApril,thePartyCentralCommittee,theStateCouncilpromulgatedtheOntheworkofthepartyandgovernmentorgansstaff'spersonalinvestmentinsecuritiesifdryprovisions>AccordingtotheprovisionsofArticle,useofworktime,officefacilities,thesaleofstocksandsecuritiesinvestmentfundbelongstoillegalbehaviorThefourthquestion,abouttheviolationofthemassesofthedisciplinaryactions<newregulations>wouldviolatepublicdisciplinebehaviorofasinglesetofaclassofrestored"threerulesofdisciplineandeightnote"inthedisciplineofthemassesofexcellenttraditional<NewRegulations>Chapter"toviolatethemassesofdisciplinaryaction",mainlythedestructionoftheparty'sclosetieswiththemassesofmisconductmadeprovisionsondisciplinaryenrichandperfectthesuperstandard,beyondthescopeofXiangQun<Alltoraisefundandlabor,inforinvolvingthepublicaffairsdeliberately,chinakayao,insocialsecurity,policysupport,disasterrelieffundsandmaterialsandothermattersassignedanykindandaffectionatefriends,obviouslyunfairactsagainsttheinterestsofthemassesofthedisciplinarytermsincreasethetermsnotinaccordancewiththeprovisionsofthepublicpartyprovided,government,factoryandvillage(neighborhood)providedetcviolationofthepeople'srighttoknowthebehaviorofthedisciplineThefifthissue,ontheviolationofworkdisciplineviolationofworkdisciplineadded"negativelist,includingPartyorganizationscarryoutstrictlyMainresponsibilityforpoordisciplineterms()thenewpartyorganizationcomprehensivestrictlythemainresponsibilityofthepartydoesnotfulfilltheorperformpoordisciplinaryterms<NewRegulations>hasaleadpeopletopayattentiontothenewterms,thatis,inchapterten"ontheviolationofworkdisciplinebehaviorpunishment"increaseintheonehundredandfourteenth"partyfailtoperformcomprehensivestrictlythemainresponsibilityofthepartyortoperformcomprehensivestrictlythemainresponsibilityforadministeringtheineffective,resultinginseriousdamageorseriousadverseeffects,tothepersondirectlyresponsibleandtheresponsibilityofleadershipandgiveawarningorseriouswarningThesituationisserious,givingremovedfromtheirpartypostsoronprobationPunishment"HerethechangesForthefirsttime,themainresponsibilitywrite<rule>()newshallreportdoesnotreportorfalsereportingdisciplineshallincreasethebar"inthehigherlevelunitstochecktoinspecttheworkorreporttotheparentunit,workreportofshallreportthemattersdonotreportordonotreport,causeseriousdamageorseriousadverseeffectsof,tothepersondirectlyresponsibleandtheresponsibilityofleadership,togivewarningoraseriouswarningifthecircumstancesareserious,givingremovedfromtheirpartypostsorplacedonprobation"Forexample,duringthetourvisitstotheregion,theunitMemberstheobligationtotheinspectionteamstoreflectthetruesituation,toconcealnotreportedorintentionallytotheinspectionteamstoprovidefalseinformation,causingseriousdamageorseriousadverseeffectsof,thepersondirectlyresponsibleandtheresponsibilityofleadershipshouldbeinaccordancewiththeprovisionsof<rule>Articletogivetheappropriatepunishment()thenewnotgrantedinaccordancewiththeprovisionsofpunishment,notaccordingtotheprovisionsoftheimplementationofdisciplinarymeasuresviolationoftheprovisionsofArticle"Partyorganizationshaveoneofthefollowingcircumstances,thedirectleadershipresponsibilityProbation:membersweresentencedpunished,inaccordancewiththeprovisionsgivedisciplinaryactionorinviolationofstatelawRulesofbehaviorshouldbegivendisciplinarypunishmentanddisposeofdisciplinarypunishmentbydecisionorcomplaintreviewthedecisionmade,notinaccordancewiththeprovisionsoftheimplementationdecisionsonpunishmentoftheparty,position,rank,andthetreatmentofthemattersPartymemberssubjecttodisciplinaryaction,notinaccordancewiththecadremanagementauthorityandorganizationalrelationshipsofbydisposeofPartymemberstocarryouteducationandsupervisionofdailymanagement"Whatneedstobepointedoutis,"cliff"demotedwithcars,housing,secretaryproblem,implementationisnotadisciplineandpartypostsandrankstreatmentbytheorganizationdepartmentisresponsiblefortheimplementation,withcars,housingbythelogisticsdepartmentisresponsiblefortheimplementationof,JiCommissionresponsibleoversightresponsibilitiesThesixquestions,abouttheactsviolatingthedisciplineoflife"inviolationofdisciplineoflifebehaviorpunishment",mainlyto"fourwinds"problemsandaseriousviolationofsocialmorality,familyvirtueactsofmisconductmadeprovisionsondisciplinary,anincreaseofextravagantlife,contrarytothesocialpublicorderandgoodcustomsdisciplinarytermsWorthmentioningis,><RegulationsinArticleabout"adultery""mistress(Cardiff)formulationinthenew<rule>isremoved,toexpandthescopeofArticleprovisions"andothershairimpropersexualrelations,letfacedisciplinaryactionWidermorestrictFour,andearnestlydoagoodjobinthe<code>and<rule>implementsystemoflifeliesinexecution<code>and<Regulations>isPartyorganizationsatalllevelsofastrongconstraintandallPartymembersfollowLearningandimplementingthe<code>and<rule>ispartycommittees(party),commissionfordiscipline,disciplineinspectiongroup),themajorityofPartymembersandcadresofthecommonresponsibility,mustpartycaughttogether,thepartyoneexecution()Partycommittees(party)andplayandimplementcomprehensivestrictlythemainresponsibility,paysspecialattentiontothetwopartyregulationslearningcrosspenetrationOneistoAdheretothepartyconstitutionisfundamentaltofollow,andresolutelysafeguardtheauthorityofthePartyChapterThesecondistoadheretotheproblemoriented,tostrictlypoliticaldisciplineandpoliticalrulemomentsinthefirstplaceThethirdistoadheretothedisciplineandrulesquiteinfrontmustnotallowthebottomlinetobreakthedisciplineThefourthistoseriouslyorganizethestudyofpropagandaandeducation,inthecitypartymemberstocreateadisciplined,abouttherulesofthestrongatmosphere(II)CommissionforDisciplineInspectionatalllevels(DisciplineInspectionGroup)toanimportantbasisfortherevisedtwopartyregulationsas,adheretoeasilyblame,strengthensupervisionandenforcementAndearlymethodincombiningJi,increaseaccountabilityeffortsOneistotworegulationswithinthepartyimportantbasis,adheretothepartyconstitutionduties,withstrictdisciplinetomaintaintheconstitutionauthorityThesecondistoadheretohighstandardsandkeepthebottomline,adheretoJiYaninlawanddiscipline,thedisciplineandrulesquiteinfront,graspinggraspingsmall,easilyblame,comprehensiveuseofsupervisionanddisciplineof"fourkindsofform"inthedisciplineembodiesthestrictrequirementsandcareforthediscipline,tightenup,YanAccordingtodisciplineinaccordancewithregulationstocarryoutdisciplinaryreviewIncreasetheviolationspunishment,cluescaninitiateaninvestigationonthetrialofcasesAccordingtothedisciplineontheprovisionsoftheproportionofprocessingandcontrolmanagermaintainsdisciplineTofocusoninvestigatingnonconvergence,don'taccepthandseriousdisciplinaryviolationsatthesametime,paymoreattentiontothegeneralreviewofdisciplinebehavior,andgraduallyincreasethelighterpunishmentFouristoilluminatetwopartyregulations,combinedwiththelocaldistrictoftheDepartmentofpartyconductLianzhengtorelevantlawsandregulationssystemclean,timelyresearchproposestoestablish,change,wastereleaseopinion,avoidconflict,andthefastensystemofcage,andgraduallyformednotrot,notrot,notwanttorotsystemandworkingmechanism()theleadershipofthepartymembersandcadresshouldplayanexemplaryroleTherateofhigherconsciousnessofthefrontoftheOrdinancetoleadpracticeselfdisciplinenorms,leadingtomaintaindisciplineofseriousnessandauthorityOneistheaboverate,demonstrationandguidance,taketheleadinlearningandmasteringthe<code>and<>therequirementsandregulations,dothedeepunderstanding,learningtouseThesecondistoplayanexemplaryroleinabidingbydisciplinerate,taketheleadinpracticingselfdisciplinenorms,firmlyestablishbeforethedisciplineareequal,thesystemhasnoprivilege,disciplineisnoexception,andconsciouslydostandards,requiremorestrictmeasuresmorepracticalThirdistoconsciouslyacceptsupervision,conscientiouslyparticipateinthedemocraticlifeanddebriefinghonestyresponsibility,suchasRealtothepartyorganizationtoreportpersonalmatters,andtoacceptthesupervisionoftheworkandlifeofthenormal,habitsunderthesupervisionoftheexerciseofpower,tocarryouttheworkThefourthistosetanexampleforthestrictenforcementofdisciplineLeadingcadresshouldtaketheleadinthemaintenanceofdisciplineofseriousnessandauthority,todaretoseriously,daretostruggle,daretooffendpeople,formisconductnotlaissezfaire,butdonotindulge,nottoleratetoensurethepartyconstitutionofpartycompassespartyputinplace()themajorityofPartymembersandcadrestosethighstandardsandholdthebottomline,consciouslyabidebythe<code>and<rule>Oneistocontrolthe<standard>and<cases>,tightCloseconnectionwiththeirownthoughts,practicalworkandlife,effortstosolvetheproblems,toenhancethestudyandimplementoftheeffectivenessandpertinenceThesecondistoestablishahighstandardandholdthebottomline,consciouslyintheselfdisciplinepursuitofhighstandards,strictlyinthepartyawayfromtheredlinediscipline,discipline,abouttherulesandknowfear,distrust,theformationofthehonorsystem,complywiththesystem,safeguardsystemofgoodhabitsRegulationsanddisciplineregulationsof<<NewRevisionoftheCommunistPartyofChinacleanfingeredselfdisciplinecriterion>and<ChineseCommunistPartyDisciplinaryRegulations>isthePartyCentralCommitteeinthenewsituationtopromotethecomprehensivestrictlyrootofthelift,theregulationsofthepartyconstructionofkeepingpacewiththetimesWeshouldstudyandimplementtheStandards>and<>astheprimarypoliticaltask,adheretothepartyconstitutionduties,adheretothedisciplineof,JiYaninlaw,thefullimplementationofsupervisionanddisciplineaccountabilityresponsibilitiesforcoordinationandpromotion"fouroverall"strategiclayoutinXXDistrictvividpracticetoprovideastrongguaranteeSiJianWu,andeffectivelyenhancetheimplementationoftheimplementationofthe<code><>TheconsciousnessofGeneralSecretaryXipointedoutthatthepartyisinchargeoftheparty,tomanagethepartystrictly,itcancuregoodpartyCriterion>and<rule>keeppacewiththetimesisourpartytoformanewpotentialstrictlyrules,todeepenunderstandingoftherulinglaw,isacomprehensivestrictly,andstrengthenthesupervisionwithinthepartyimportantgrasperCriterion>closelylinkedtothethemeofselfdiscipline,selfdisciplineintensitymodulated,focusingonmorality,forthemajorityofPartymembersandcadressettosee,feelthehighstandard,showtheCommunistsnoblemoralsentimentDistrictOrdinance<<rule>theconstitutionofdisciplineintegrationintoapoliticaldiscipline,organizationanddiscipline,honestyanddiscipline,disciplineofthemasses,workdiscipline,discipline,emphasizediscipline,focusingonestablishedrules,todrawthepartyorganizationsandPartymembersdonottouchthebottomlinePartycommittees(party)toeffectivelystrengthenthestudyandpublicizetheimplementationofthe<code>and<rule>theorganizationandleadershipofcriterion>and<>afullrange,multiangle,deeppublicity,theformationofstudyandpublicizeandimplementtheboom,inordertoconsolidatethedevelopmentofgoodpoliticalenvironmenttocreateapositiveenvironmentandatmosphereThemajorityofPartymembersandcadrestostrictrequirements,the<rule>and<Ordinancecases>asaguidetoactionandbehaviorcriterion,adheretothemoralstandardsanddisciplineofthebottomline,tomaintainthedisciplineofworshipandawe,learning,compliance,andmaintainpartydisciplineandrulesofthemodelThedisciplineinspectionandsupervisionorgansandcadrestothe<code>and<>asthedeepeningofthe"three",andstrengthensupervisionanddisciplineofaccountabilityisimportanttofollowcorrectlygrasptheuseofsupervisionanddisciplineof"fourtypes",promotethecomprehensivestrictlyinnewrootsStrictdiscipline,adheretothedisciplineandrulesquiteinfrontoftheenterpriseintheimplementationofexpensivetoimplementtoexecuteThedisciplineinspectionandsupervisionorganstoimplementthe<code>and<Effortstoinvestigatecases>asanopportunity,adheretothepartyshouldmanagethepartystrictly,seriousperformanceoftheirdutiestopromotetworegulationsimplementationChangedisciplineconceptFromthesimple"investigationofillegal"toacomprehensive"stareatviolatediscipline"fromthebusinesscasetoprosecutethebigcasesandtimelysolvethesignsoftilttoFromtheorientationtothenormalsupervisionfromthetube"minority"toresistthe"most"GuidePartymembersandcadrestoseriouslyimplementthe<code>and<rule>,consciouslyabidebythepolitical,organizational,honestpeople,work,lifesixdisciplineUrgetheleadershipcadressenttoplayanexemplaryrole,taketheleadinstrictlyenforcedRelaxationandrestStrongwindisSuJi,closelylinkedtothe"fourwinds"pronetomultiple,themassesreflectthestrongimportantnodesand,gluedtothefourwinds"newform,newtrends,seriouslyinvestigateanddealwithviolationsofthecentraleightprovisionsofthespirit,toincreasethebulletinexposureintensity,theformationofChajiu"fourwinds"loudly,continuetoreleaseanddisciplinemustbestrictsignalAtthesametime,extendedsupervisiontentacles,throughthedevelopmentoftheruralandfisherypartyconductLianzhengconstructioninspection,issuedinatimelymanner,Chajiuoccurredingrassrootssideofcorruptionandunhealthy,andearnestlysafeguardtheinterestsofthemassesandsocialstabilityThecreativityanddisciplineGraspandmakegooduseofthesupervisionanddisciplineof"fourtypes",toensurethePromotingcluestolotsofdisciplineandthelawofthevacuumtube,stricttogetherNotonlytothe"less"and"veryfew"thoroughinvestigationseverelypunished,butalsothe"most"tomaintainzerotolerancetrendthroughlayersofconductivepressure,letthedisciplineabouttherulesforeachpartymembersandcadresconsciouslyfollowAtpresent,itisnecessarytoimplementthe"list"management,strictlyfollowthecluestothedisposaloffivestandards,maketheclassificationofdisposal,dynamiccleanupZadokPartycommitteesatalllevelstoimplementthemainresponsibility,comprehensiveuseofdisciplinaryactionandtissueprocessingandothermeanstoeffectivelycurbthecommonplace,usedtoseedonotblamethe"smallproblem",notbecauseof"practice"and"exception"ProminentDisciplinecharacteristics,theproblemsofviolationofdisciplineandrulesintothefocusofsupervisionanddisciplineanddisciplinaryreviewAtthesametime,increasecasedoublechecktheintensity,theseriousproblemsofdisciplineviolationsor"fourwinds"banbutnotabsolutely,notonlytobehelddirectlyresponsible,butalsoheldleadershipresponsibilitynotonlytopursuestudiesthemainresponsibilityofthePartycommittee,andtopursueCommissionforDisciplineInspectionandsupervisionresponsibilitiesandpromoteaccountabilitytobecomethenewnormTheimplementationofsupervisoryresponsibilityMaintain<code>and<rule>theseriousnessandauthorityofthedisciplineandrulesandtrulybecometheparty'srulerDisciplineassupervisionwithinthepartythespecializedagency,wemuststrengthentheresponsibilitytoact,adheretotheImpartialdisciplineaccountability,earnestlywillbestrictdiscipline,disciplinemustbepunished,andseverelypunishtheactsinviolationofrulesandregulation
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