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Cod sursa(job #342208)
#include <cstdio>
#define file_in "gfact.in"
#define file_out "gfact.out"
long long p,q;
inline long long power(long long a, long long b)
{
long long x;
if (b==1)
return a;
else
if (b%2==0)
{
x=power(a,b/2);
return (x*x);
}
else
{
x=power(a,b/2);
return ((x*x)*a);
}
}
inline long long solve()
{
long long rez,nr=1;
int i;
while(1)
{
rez=1;
nr++;
for (i=2;i<=nr;++i)
rez*=i;
if (rez%p==0)
break;
}
return nr;
}
int main()
{
freopen(file_in,"r",stdin);
freopen(file_out,"w",stdout);
scanf("%lld %lld", &p,&q);
if (q==1)
{
printf("%lld", solve());
}
else
{
p=power(p,q);
printf("%lld", solve());
}
//}
fclose(stdin);
fclose(stdout);
return 0;
}