Cod sursa(job #1229508)

Utilizator CosminRusuCosmin Rusu CosminRusu Data 17 septembrie 2014 16:49:56
Problema Algoritmul lui Euclid extins Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 1.39 kb
#include <fstream>
#include <iostream>
#include <vector>
#include <bitset>
#include <string.h>
#include <algorithm>
#include <iomanip>
#include <math.h>
#include <time.h>
#include <stdlib.h>
#include <set>
#include <map>
#include <string>
#include <queue>
#include <deque>

using namespace std;

const char infile[] = "euclid3.in";
const char outfile[] = "euclid3.out";

ifstream fin(infile);
ofstream fout(outfile);

const int MAXN = 100005;
const int oo = 0x3f3f3f3f;

typedef vector<int> Graph[MAXN];
typedef vector<int> :: iterator It;

const inline int min(const int &a, const int &b) { if( a > b ) return b;   return a; }
const inline int max(const int &a, const int &b) { if( a < b ) return b;   return a; }
const inline void Get_min(int &a, const int b)    { if( a > b ) a = b; }
const inline void Get_max(int &a, const int b)    { if( a < b ) a = b; }

inline int extendedGcd(int a, int b, int &x, int &y) {
    if(!b) {
        x = 1;
        y = 0;
        return a;
    }
    int x0, y0;
    int d = extendedGcd(b, a % b, x0, y0);
    x = y0;
    y = x0 - (a / b) * y0;
    return d;
}

int main() {
    int T;
    fin >> T;
    while(T -- ) {
        int a, b, c, d;
        fin >> a >> b >> c;
        int x, y;
        d = extendedGcd(a, b, x, y);
        if(c % d)
            fout << "0 0\n";
        else fout << x * c / d << ' ' << y * c / d << '\n';
    }
    fin.close();
    fout.close();
    return 0;
}