Cod sursa(job #2414662)

Utilizator mjmilan11Mujdar Milan mjmilan11 Data 24 aprilie 2019 21:14:05
Problema GFact Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.12 kb
#include <bits/stdc++.h>

using namespace std;

ifstream fin("gfact.in");
ofstream fout("gfact.out");

const int NMAX = 20;
const long long INF = (1LL<<50);
long long baza[NMAX],putere[NMAX];
int k,P,Q;

void descompun(long long nr)
{
    for(int i=2;1LL*i*i<=nr;i++)
    {
        if(nr%i==0)
        {
            baza[++k]=i;
            while(nr%i==0)
            {
                nr/=i;
                putere[k]++;
            }
        }
    }
    if(nr!=1)
    {
        baza[++k]=nr;
        putere[k]=1;
    }
}

bool verif(long long nr)
{
    long long sum=0,b;
    for(int i=1;i<=k;i++)
    {
        sum=0;
        b=baza[i];
        while(nr/b>0)
        {
            sum+=nr/b;
            b*=baza[i];
        }
        if(sum<putere[i]*Q) return 0;
    }
    return 1;
}

int main()
{
    fin >> P >> Q;
    descompun(P);
    long long st=0,dr=INF,mij,rasp;
    while(st<=dr)
    {
        mij=(st+dr)/2;
        if(verif(mij)==1)
        {
            dr=mij-1;
            rasp=mij;
        }
        else st=mij+1;
    }
    fout << rasp;
    return 0;
}