Cod sursa(job #1070040)

Utilizator dumytruKana Banana dumytru Data 30 decembrie 2013 21:40:32
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.64 kb
/*
#include <stdio.h>
#include <assert.h>

inline 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()
{
    freopen("euclid3.in", "rt", stdin);
    //freopen("euclid3.out", "wt", stdout);

    int T;
    for (scanf("%d", &T), assert( T <= 100 ); T; T--)
    {
        int A, B, C;
        scanf("%d %d %d", &A, &B, &C);

        assert( -1000000000 <= A && A <= 1000000000 );
        assert( -1000000000 <= B && B <= 1000000000 );
        assert( -2000000000 <= C && C <= 2000000000 && C != 0 );
        int D, X, Y;
        D = gcd( A, B, X, Y );

        if (C % D)
            printf("0 0\n");
        else
            printf("%d %d\n", X * (C / D), Y * (C / D));
    }

    return 0;
}
*/
#include <iostream>
#include <fstream>
using namespace std;

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

int main()
{
    int n,a,b,c,d=0,x=0,y=0,i;
    ifstream f("euclid3.in");
    ofstream g("euclid3.out");
    f>>n;
    for(i=1;i<=n;i++)
    {
        f>>a>>b>>c;
        euclid(a,b,d,x,y);
        if(c%d==0)
        {
            g<<x * (c/d) <<' '<<y * (c/d)<<'\n';
            //solutie
        }
        else
        {
            //nu solutie
            g<<"0 0\n";
        }

    }
    return 0;
}