Cod sursa(job #2550253)

Utilizator LazarRazvanLazar Razvan LazarRazvan Data 18 februarie 2020 17:18:56
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.1 kb
#include <iostream>
#include <fstream>

using namespace std;

ifstream fin;
ofstream fout;

int cmmdc(int x, int y)
{
    /**
     * Calculeaza cmmdc a doua numere
     * @param x = primul numar
     * @param y = al doilea numar
     * @return cmmdc
     */

    if (y > x)
    {
        int aux = x;
        x = y;
        y = aux;
    }

    while (y)
    {
        int r = x%y;
        x = y;
        y = r;
    }

    return x;
}

int euclid(int a, int b, int &x, int &y)
{
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    } else {
        int x0, y0;
        int d = euclid(b, a % b, x0, y0);
        x = y0;
        y = x0 - (a / b) * y0;

        return d;
    }
}

int main() {

    fin.open("euclid3.in");
    fout.open("euclid3.out");

    int x, y;
    int a, b, c;

    int n;
    fin >> n;

    for (int i=1; i<=n; i++) {

        fin >> a >> b >> c;

        int d = euclid(a, b, x, y);

        if (c % d) {
            fout << "0 0 \n";
        } else {
            fout << x * (c / d) << " " << y * (c / d) << '\n';
        }
    }
    
    fin.close();
    fout.close();

    return 0;
}