Cod sursa(job #1922696)

Utilizator null_exceptionAdrian Cucos null_exception Data 10 martie 2017 18:28:41
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.17 kb
/**
 *Se dau T ecuatii de forma a * x + b * y = c, cu coeficientii a, b si c.
 *Pentru fiecare dintre aceste ecuatii se cere aflarea unei perechi de numere
 *intregi x y care sa satisfaca ecuatia, in cazul in care o astfel de pereche exista.
 */

#include <iostream>
#include <fstream>
#include <cstdio>
#include <cassert>

using namespace std;

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

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

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()
{
    ifstream f("euclid3.in");
    ofstream g("euclid3.out");
    int l;
    f>>l;
    for(int i=0; i<l; i++)
    {
        int a,b,c;
        f>>a>>b>>c;
        int d,x,y;
        d = euclid(a,b,x,y);
        if(c % d)
            g<<"0 0\n";
        else
            g<<x * (c/d) <<" "<<y * (c/d)<<"\n";
    }
    return 0;
}