3 solutions

  • 0
    @ 2023-4-3 13:50:07

    跟快速幂的思想差不多: 首先假设a * b mod p;

    第一步: 将b进行二进制分解得到(2^0 + 2^1 + 2^3.....) 所以: a * b = a * 2^0 + a *2^1.......; 我们发现后一项是前一项的2倍,因此我们只需要判断b的二进制为是否是1,如果是,就加,不是就不加,然后,得到两个数的乘积后得到一个数,和第三个数继续做上面的操作.

    写的不是很清楚

    #include <algorithm>
    using namespace std;
    
    const int N = 110;
    long long ans[N];
    int n;
    long long p;
    int main()
    {
        scanf("%d%ld", &n, &p);
        for(int i = 1; i <= n; i++) scanf("%lld", &ans[i]);
    
        long long res = 0;
        long long temp  = ans[1];
        for(int i = 2; i <= n; i++)
        {
            long long a = temp;
            long long b = ans[i];
            while(b)
            {
                if(b & 1) res = (long long) (res + a) % p;
                b >>= 1;
                a = (long long)(a * 2) % p;
            }
            if(i != n)
            {
                temp = res;
                res = 0;
            }
        }
        printf("%lld", res);
    }
    
    
    

    Information

    ID
    1549
    Time
    1000ms
    Memory
    256MiB
    Difficulty
    6
    Tags
    # Submissions
    107
    Accepted
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