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  • HDU 5776 sum (模拟)

    sum

    题目链接:

    http://acm.hdu.edu.cn/showproblem.php?pid=5776

    Description

    Given a sequence, you're asked whether there exists a consecutive subsequence whose sum is divisible by m. output YES, otherwise output NO

    Input

    The first line of the input has an integer T (1≤T≤10), which represents the number of test cases. For each test case, there are two lines: 1.The first line contains two positive integers n, m (1≤n≤100000, 1≤m≤5000). 2.The second line contains n positive integers x (1≤x≤100) according to the sequence.

    Output

    Output T lines, each line print a YES or NO.

    Sample Input

    2 3 3 1 2 3 5 7 6 6 6 6 6

    Sample Output

    YES NO
    ##题意: 判断给定的数串中是否存在连续子串的和能被m整除.
    ##题解: 维护每个前缀和的余数即可. 如果有两个前缀和的余数相同,那么这两段之差构成的字串一定能被m整除. WA了一发:cnt[0]要初始化为1.
    ##代码: ``` cpp #include #include #include #include #include #include #include #include #include #include #include #define LL long long #define eps 1e-8 #define maxn 201000 #define mod 1000000007 #define inf 0x3f3f3f3f #define mid(a,b) ((a+b)>>1) #define IN freopen("in.txt","r",stdin); using namespace std;

    int n,m;
    int cnt[5100];

    int main(void)
    {
    //IN;

    int t; cin >> t;
    while(t--)
    {
        memset(cnt, 0, sizeof(cnt));
        cin >> n >> m;
    
        int sum = 0;
        cnt[0]++;
        for(int i=1; i<=n; i++) {
            int x; scanf("%d", &x);
            sum = (sum + x) % m;
            cnt[sum]++;
        }
    
        bool flag = 0;
        for(int i=0; i<m; i++) if(cnt[i] > 1) {
            flag = 1; break;
        }
    
        if(flag) puts("YES");
        else puts("NO");
    }
    
    return 0;
    

    }

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  • 原文地址:https://www.cnblogs.com/Sunshine-tcf/p/5774399.html
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