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設所求二數為x,y,且(x,y)=d,令x=ad,y=bd,則(a,b)=1.根據題意有a+b=60d1+ab=84d,由於(60,84)=12,所以d=l,2,3,4,6,12.而當d:1,2,3,4,6時,方程組無解.當d=12時,方程組變為a+b=5ab=6,解…
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