From 4850a278560ae4c3e10aa9d51561e0aab8065c4e Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Sun, 24 Apr 2022 21:09:45 +0800
Subject: [PATCH] =?UTF-8?q?P1495=20=E3=80=90=E6=A8=A1=E6=9D=BF=E3=80=91?=
 =?UTF-8?q?=E4=B8=AD=E5=9B=BD=E5=89=A9=E4=BD=99=E5=AE=9A=E7=90=86(CRT)/?=
 =?UTF-8?q?=E6=9B=B9=E5=86=B2=E5=85=BB=E7=8C=AA?=
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https://www.luogu.com.cn/record/74538615
---
 Luogu/P1495/P1495.cpp | 52 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 52 insertions(+)
 create mode 100644 Luogu/P1495/P1495.cpp

diff --git a/Luogu/P1495/P1495.cpp b/Luogu/P1495/P1495.cpp
new file mode 100644
index 00000000..c8a6230c
--- /dev/null
+++ b/Luogu/P1495/P1495.cpp
@@ -0,0 +1,52 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e5 + 5;
+
+int n;
+long long a[N], b[N];
+
+long long exgcd(long long a, long long b, long long &x, long long &y) {
+    if (!b) {
+        x = 1, y = 0;
+        return a;
+    }
+
+    long long g = exgcd(b, a % b, y, x);
+    y -= a / b * x;
+
+    return g;
+}
+
+long long CRT() {
+    long long mod = 1, ans = 0;
+
+    for (int i = 1; i <= n; i++) {
+        mod *= a[i];
+    }
+
+    for (int i = 1; i <= n; i++) {
+        long long m = mod / a[i], x, y;
+        exgcd(m, a[i], x, y);
+        ans = (ans + b[i] * m * x % mod) % mod;
+    }
+
+    return (ans % mod + mod) % mod;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+
+    cin >> n;
+
+    for (int i = 1; i <= n; i++) {
+        cin >> a[i] >> b[i];
+    }
+
+    cout << CRT() << endl;
+
+    return 0;
+}