Cod sursa(job #3354020)

Utilizator theodix_1Tiroiu Theodor Alexandru theodix_1 Data 13 mai 2026 23:16:33
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.93 kb
#include <fstream>
using namespace std;
ifstream f("euclid3.in");
ofstream g("euclid3.out");
void euclid(long long a, long long b, long long &x, long long &y)
{
    if(b == 0)
    {
        x = 1;
        y = 0;
    }
    else
    {
        long long x1, y1;
        euclid(b, a % b, x1, y1);
        x = y1;
        y = x1 - (a / b) * y1;
    }
}

long long gcd(long long a, long long b)
{
    while(b)
    {
        long long r = a % b;
        a = b;
        b = r;
    }
    return a;
}

int main()
{
    int T;
    f >> T;
    while(T--)
    {
        long long a, b, c;
        f >> a >> b >> c;
        long long x, y;
        long long d = gcd(a, b);
        if(c % d != 0)
        {
            g << "0 0\n";
            continue;
        }
        euclid(a, b, x, y);
        long long k = c / d;
        x *= k;
        y *= k;
        g << x << " " << y << "\n";
    }
    return 0;
}