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Cod sursa(job #468089)
#include<fstream>
using namespace std;
ifstream in("gfact.in");
ofstream out("gfact.out");
long long p,q,k;
struct diviz{long long div,put;};
diviz v[10];
void read()
{
in>>p>>q;
}
long long putere(long long a,long long b)//puterea la care apare b in a!
{
long long rez=0;
while(a>=b)
rez+=(a/=b);
return rez;
}
void descompun(long long p)
{
int m;
for(int i=2;i*i<=p;i++)
{
m=0;
while(p%i==0)
{
m++;
p/=i;
}
if(m)
{
k++;
v[k].div=i;
v[k].put=m;
}
}
if(p!=1)
{
++k;
v[k].div=p;
v[k].put=1;
}
}
bool sol(long long n)
{
for(int i=1;i<=k;i++)
if(putere(n,v[i].div)<q*v[i].put)
return false;
return true;
}
long long caut()
{
long long i,pas=(long long)1<<40;
for(i=0;pas!=0;pas>>=1)
if(sol(i+pas)==false)
i+=pas;
return i+1;
}
int main()
{
read();
descompun(p);
out<<caut();
return 0;
}