Cod sursa(job #2795441)

Utilizator tudor_costinCostin Tudor tudor_costin Data 6 noiembrie 2021 13:00:22
Problema GFact Scor 20
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.42 kb
#include <iostream>
#include <fstream>
using namespace std;
ifstream fin("gfact.in");
ofstream fout("gfact.out");
int ciur[100000005],f[100000005];
int main()
{

    int p,q,aux,dmax=2;
    fin>>p;
    ciur[0]=ciur[1]=1;
    for(int i=2;i*i<=1000000;i++)
    {
        if(ciur[i]==0)
        {
            for(int j=i*i;j<=1000000;j+=i)
            {
                ciur[j]=1;
            }
        }
    }
    fin>>q;
    aux=p;
    while(p%2==0)
    {
        p=p/2;
        f[2]++;
    }
    for(int d=3;d<=p;d+=2)
    {
        if(ciur[d]==0 && p%d==0)
        {
            dmax=max(d,dmax);
            f[d]++;
        }
    }
    p=aux;
    int x,cnt=0,ok=0,sol;
    for(int i=1;i<=dmax;i++)
    {
        f[i]=f[i]*q;
    }
    int l=0,r=1000000000,mid;
    while(l<=r)
    {
        ok=0;
        mid=(r+l)/2;
        aux=mid;
        for(int i=1;i<=dmax;i++)
        {
            if(f[i]!=0)
            {
                cnt=0;
                x=f[i];
                while(mid!=0)
                {
                    cnt+=mid/i;
                    mid=mid/i;
                }
                if(cnt<x)
                {
                    ok=1;
                    break;
                }

            }
        }
        if(ok==1) l=aux+1;
        else
        {
            r=aux-1;
            sol=aux;
        }
    }
    fout<<sol;
    return 0;
}