Cod sursa(job #1591366)

Utilizator preda.andreiPreda Andrei preda.andrei Data 6 februarie 2016 10:04:20
Problema GFact Scor 80
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.44 kb
#include <iostream>
#include <cstdio>
#include <vector>

using namespace std;

vector<int> factori;
vector<int> puteri;

void desparteInFactori(int n);
bool valid(long long int val, int modPutere);

int main()
{
    FILE *fin = fopen("gfact.in", "r");
    FILE *fout = fopen("gfact.out", "w");

    long long int pas, poz;
    int p, q;

    fscanf(fin, "%d%d", &p, &q);

    desparteInFactori(p);

//    for(int i=0; i<factori.size(); ++i)
//        cout << factori[i] << "^" << puteri[i] << "\n";

    pas = 1LL << 60;
    poz = 0;
    while(pas > 0){
        if(poz + pas <= 2000000000 && !valid(poz + pas, q))
            poz += pas;
        pas >>= 1;
    }

    fprintf(fout, "%lld", poz + 1);
    return 0;
}

bool valid(long long int val, int modPutere){
    long long int put, div, cval;
    for(int i=0; i<factori.size(); ++i){
        div = factori[i];
        put = 1LL * puteri[i] * modPutere;
        cval = val;

        while(cval > 0 && put > 0){
            put -= (cval / div);
            cval /= div;
        }

        if(put > 0)
            return false;
    }
    return true;
}

void desparteInFactori(int n){
    int d, put;

    d = 2;
    while(n != 1){
        put = 0;
        while(n % d == 0){
            n /= d;
            put++;
        }
        if(put > 0){
            factori.push_back(d);
            puteri.push_back(put);
        }
        d++;
    }
}