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[数论] 存在性证明3

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hbghlyj posted 2019-7-25 15:29 |Read mode
给定整数a,b,证明:存在整数x,y,u,v,使得a=xu,b=yv,(x,y)=1且[a,b]=xy
提示:(a,b)·[a,b]=|ab|

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