Cod sursa(job #2714685)

Utilizator iuliangal186Gal Iulian iuliangal186 Data 2 martie 2021 11:32:16
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1 kb
#include <iostream>
#include <fstream>
#include <assert.h>

using namespace std;

ifstream fin("euclid3.in");
ofstream fout("euclid3.out");

int gcd(int a, int b, int &x, int &y)
{
    if(b == 0)
    {
        x = 1; 
        y = 0;
        return a;
    }
    int x0, y0, d;
    d = gcd(b, a % b, x0, y0);

    x = y0;
    y = x0 - (a / b) * y0;
    return d;
}

int main()
{
    int t;
    fin >> t;
    for(int i = 1; i <= t; i++)
    {
        int a, b, c;
        fin >> a >> b >> c;
        assert(-1000000000 <= a && a <= 1000000000);
        assert(-1000000000 <= b && b <= 1000000000);
        assert(-2000000000 <= c && c <= 2000000000 && c != 0);
        //the progrmammer assumes that for the rest of the code
        int d, x, y;

        d = gcd(a, b, x, y);

        if(c % d != 0)
        {
            fout << 0 << " " << 0 << "\n";
        }
        else 
        {
            fout << x * (c / d) << " " << y * (c / d) << "\n";
        }
    }
    return 0;
}