Cod sursa(job #1173755)

Utilizator alex_HarryBabalau Alexandru alex_Harry Data 20 aprilie 2014 20:18:42
Problema GFact Scor 100
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.19 kb
#include <fstream>
using namespace std;
ifstream f("gfact.in");
ofstream g("gfact.out");
long long P,Q;
long long Prime[10005],Exp[10005],ind;
void Prime_Facts()
{
    long long i=2;
    while(i*i<=P)
    {
        if(P%i==0)
            Prime[++ind]=i;
        while(P%i==0)
        {
            Exp[ind]+=Q;
            P/=i;
        }
        ++i;
    }
    if(P!=1)
    {
        Prime[++ind]=P;
        Exp[ind]=Q;
    }
}
bool Valid(long long value)
{
    for(long long i=1;i<=ind;i++)
    {
        long long prime=Prime[i],counter=0;
        while(value>=prime)
        {
            counter+=value/prime;
            prime*=Prime[i];
        }
        if(counter<Exp[i])
            return 0;
    }
    return 1;
}
void Binary_Search()
{
    long long left=1,right=(long long)2000000000*(long long)30000,middle,solution=0;
    while(left<=right)
    {
        middle=(left+right)/2;
        if(Valid(middle)==1)
        {
            solution=middle;
            right=middle-1;
        }
        else
            left=middle+1;
    }
    g<<solution<<"\n";
}
int main()
{
    f>>P>>Q;
    Prime_Facts();
    Binary_Search();
    return 0;
}