From 394dec7271d5e02dbb83109458edb73b4777ea9f Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Thu, 16 Feb 2023 17:25:49 +0800
Subject: [PATCH] =?UTF-8?q?#1929.=20=E3=80=90Gym103446D=E3=80=91Strange=20?=
 =?UTF-8?q?Fractions?=
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https://sjzezoj.com/submission/70572
---
 S2OJ/1929/1929.cpp | 46 ++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 46 insertions(+)
 create mode 100644 S2OJ/1929/1929.cpp

diff --git a/S2OJ/1929/1929.cpp b/S2OJ/1929/1929.cpp
new file mode 100644
index 00000000..4c974ec0
--- /dev/null
+++ b/S2OJ/1929/1929.cpp
@@ -0,0 +1,46 @@
+#include <iostream>
+#include <cmath>
+#include <experimental/numeric>
+#include <utility>
+#include <vector>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+void solve() {
+    long long p, q;
+
+    cin >> p >> q;
+
+    long long g = std::experimental::gcd(p, q);
+
+    p /= g, q /= g;
+
+    for (int i = 1; i * i <= q; i++) {
+        if (q % i == 0) {
+            long long a = i, b = q / i;
+
+            if (a * a + b * b == p) {
+                cout << a << ' ' << b << endl;
+
+                return;
+            }
+        }
+    }
+
+    cout << 0 << ' ' << 0 << endl;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    int t;
+
+    cin >> t;
+
+    while (t--) solve();
+
+    return 0;
+}