P2520 [HAOI2011]向量

https://www.luogu.com.cn/record/89364875

Luogu/P2520/P2520.cpp

@@ -0,0 +1,30 @@
+#include <iostream>
+#include <algorithm>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+int t, a, b, x, y;
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> t;
+
+    while (t--) {
+        cin >> a >> b >> x >> y;
+
+        int g = std::__gcd(a, b) * 2;
+        a %= g, b %= g, x %= g, y %= g;
+
+        auto check = [&](int x, int y) -> bool {
+            return x % g == 0 && y % g == 0;
+        };
+
+        cout << (check(x, y) || check(x + a, y + b) || check(x + b, y + a) || check(x + a + b, y + a + b) ? "Y" : "N") << endl;
+    }
+
+    return 0;
+}