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Wannafly挑战赛22 A.计数器(n个整数间的裴蜀定理)
阅读量:218 次
发布时间:2019-03-01

本文共 552 字,大约阅读时间需要 1 分钟。

题意

在数论中,给定一组数,要求找出这些数的最大公约数(GCD)。具体来说,给定一组数a₁, a₂, ..., aₙ,和一个数m,求这些数与m的最大公约数g。通过分析这些数的性质,我们可以找出解决方案。

解法

要解决这个问题,我们可以采用以下步骤: 1. 初始化g为m的值。 2. 遍历每一个数a_i,更新g为当前g与a_i的最大公约数。 3. 最终得到的g即为所求的最大公约数。 这种方法利用了数论中的最大公约数性质,能够高效地解决问题。

代码示例

```cpp #include
using namespace std;

#define int long long

const int maxm = 1e5 + 5;

int a[maxm];
int n, m;

signed main() {

ios::sync_with_stdio(0);
cin >> n >> m;
for (int i = 1; i <= n; ++i) {
cin >> a[i];
}
int g = m;
for (int i = 1; i <= n; ++i) {
g = __gcd(g, a[i]);
}
cout << g << endl;
}

以上代码实现了上述解法,能够高效地计算多个数与m的最大公约数。

转载地址:http://mlkv.baihongyu.com/

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