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Cod sursa(job #348314)
#include<stdio.h>
long long p,q,s,i,j,k,l,mp,ni,max,rez;
int main()
{
freopen("gfact.in","r",stdin);
freopen("gfact.out","w",stdout);
scanf("%lld%lld",&p,&q);
for(i=2;i<=p;++i)
{
for(k=1 , l=0;p%i==0;p/=i , k*=i , ++l);
if (max<k)
{
max=k;
ni=i;
mp=l;
}
}
// printf("%lld = %lld la %lld\n",max,ni,mp);
for(j=2 , s=1 ; s+j<=q ; s+=j , ++j);
--j;
i=max;
// printf("%d %d ",i,j);
rez=1;
for(long long b=i;j;j/=2 , b*=i)
if (j%2==1)
rez*=b;
printf("%lld\n",rez);
return 0;
}