Cod sursa(job #3298640)

Utilizator florin977Docheru Florin-Andrei florin977 Data 31 mai 2025 19:49:29
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.02 kb
#include <iostream>
#include <fstream>

using namespace std;

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

long long cmmdc(long long a, long long b)
{
    if (b != 0) 
    {
        return cmmdc(b, a % b);
    }
    else 
    {
        return a;
    }
}

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;
    }
}

int main()
{
    long long t = 0;
    long long a = 0, b = 0, c = 0;

    fin >> t;

    while (t != 0)
    {
        fin >> a >> b >> c;

        long long d = cmmdc(a, b);

        if (c % d != 0)
        {
            fout << 0 << ' ' << 0 << '\n';
        }
        else 
        {
            long long k = (c / d);

            long long x = 0, y = 0;

            euclid(a, b, x, y);

            x *= k;
            y *= k;

            fout << x << ' ' << y << '\n';
        }

        t--;
    }

    return 0;
}