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Cod sursa(job #526457)
#include<stdio.h>
int d[30],e[30],p,q,nr;
int nrd(int x,int y)
{
int z=0;
while(x)
{
z+=x/y;
x/=y;
}
return z;
}
int ok(int x)
{
int i;
for(i=1;i<=x;i++)
if(nrd(x,d[i]>=p*q))
return 1;
return -1;
}
void desc(int n)
{
int i,nr=0;
for(i=2;i*i<=n;++i)
if(n%i==0)
{
d[++nr]=i;
e[nr]=0;
while(n%i==0)
{
n/=i;
++e[nr];
}
}
if(n!=1)
{
d[++nr]=n;
e[nr]=1;
}
}
int caut()
{
int i,pas=1<<30;
for(i=0;pas!=0;pas>>=1)
if(!ok(i+pas))
i+=pas;
return i+1;
}
int main()
{
freopen("gfact.in","r",stdin);
freopen("gfact.out","w",stdout);
int i;
scanf("%d%d",&p,&q);
desc(p);
for(i=1;i<=nr;i++)
e[i]*=q;
printf("%d",caut());
return 0;
}