hdu 2965组合数学题

类似于骨牌问题。我的做法就是首先看能不能横着排满，然后看能不能竖着排满，都不行的话就考虑一些横着排，一些竖着排，看能不能满足要求，最后也就转化为求ax+by=n有没有非负解的问题。可是我用扩展欧几里得打了，超时，无奈只能纯枚举了，枚举放1个、2个、3个...直到放不下为止。这说明测试数据很操蛋。

/*
* hdu2965/win.cpp
* Created on: 2012-11-4
* Author    : ben
*/
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <ctime>
#include <iostream>
#include <algorithm>
#include <queue>
#include <set>
#include <map>
#include <stack>
#include <string>
#include <vector>
#include <deque>
#include <list>
#include <functional>
#include <numeric>
#include <cctype>
using namespace std;
typedef long long LL;
int gcd(int a, int b) {
int r;
while(b) {
r = a % b;
a = b, b = r;
}
return a;
}
inline bool judge2(int a, int b, int z) {
int x = 1;
while(a * x < z) {
if((z - a * x) % b == 0) {
return true;
}
x++;
}
return false;
}

inline bool judge(int x, int y, int n, int m) {
int t = gcd(x, y);
if(n % t != 0 || m % t != 0) {
return false;
}
x /= t, y /= t, m /= t, n /= t;
if(n % x == 0 && m % y == 0) {
return true;
}
if(n % y == 0 && m % x == 0) {
return true;
}
if(n % x == 0 && n % y == 0 && judge2(x, y, m)) {
return true;
}
if(m % x == 0 && m % y == 0 && judge2(x, y, n)) {
return true;
}
return false;
}
int get_int() {
int res = 0, ch;
while (!((ch = getchar()) >= '0' && ch <= '9')) {
if (ch == EOF)
return 1 << 30;
}
res = ch - '0';
while ((ch = getchar()) >= '0' && ch <= '9')
res = res * 10 + (ch - '0');
return res;
}
int main() {
#ifndef ONLINE_JUDGE
freopen("data.in", "r", stdin);
#endif
int T, x, y, n, m;
T = get_int();
while(T--) {
x = get_int();
y = get_int();
n = get_int();
m = get_int();
bool ret = judge(x, y, n, m);
puts(ret ? "YES" : "NO");
}
return 0;
}