http://poj.org/problem?id=1078
#include<iostream>
using namespace std;
int t[100],n;
int go(int i,long s,long a,long b)
{if(s==1)return 1;
if(i==n)return 0;
if(a%t[i]==0)if(go(i+1,s/t[i],a/t[i],b))return 1;
if(b%t[i]==0)if(go(i+1,s/t[i],a,b/t[i]))return 1;
if(go(i+1,s,a,b))return 1;
return 0;
}
int main()
{int i;long a,b,s;
while(1)
{cin>>a;if(cin.fail())break;
cin>>b;
if(a<b){a=a+b;b=a-b;a=a-b;}
s=a*b;n=0;
for(i=100;i>1;i--)
if(s%i==0&&(a%i==0||b%i==0))t[n++]=i;
if(!go(0,b,b,1)){cout<<a<<endl;continue;}
if(!go(0,a,a,1)){cout<<b<<endl;continue;}
if(go(0,s,a,b)==1)cout<<a<<endl;
else cout<<b<<endl;
}
return 1;
}
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