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Cod sursa(job #748119)
#include<iostream>
#include<fstream>
using namespace std;
ifstream in("gfact.in");
ofstream out("gfact.out");
long long fact[2020], puteri[2020];
inline long long maxim(long long a, long long b)
{
if(a > b)
return a;
return b;
}
void desc(long long n)
{
long long d = 2, e;
while((d * d <= n) && (n > 1)){
e = 0;
while((n % d) == 0){
e++;
n /= d;
}
if(e){
fact[ ++fact[0] ] = d;
puteri[ ++puteri[0] ] = e;
}
d++;
}
if(n > 1){
fact[ ++fact[0] ] = n;
puteri[ ++puteri[0] ] = 1;
}
}
long long putere(long long p, long long n)
{
long long num = p, s = 0;
while(n){
n /= num;
s += n;
}
return s;
}
long long cautare(long long fact, long long exp)
{
long long poz = 0, now, med, st = 1, dr = (long long)((1 << 31) - 1);
while(st <= dr){
med = (st + dr) >> 1;
now = putere(fact, med);
if(now >= exp){
dr = med - 1;
poz = med;
}
else
st = med + 1;
}
return poz;
}
int main()
{
long long p, q, sol = (-1), i;
in >> p >> q;
desc(p);
for(i = 1; i <= puteri[0]; ++i)
puteri[i] *= q;
for(i = 1; i <= puteri[0]; ++i)
sol = maxim(sol, cautare(fact[i], puteri[i]));
out << sol;
return 0;
}