【离散数学】Warshall算法实现 传递闭包对应矩阵

测试样例,数据拿离散书上Page 124页测的:

/*

7
1 1 0 0 0 0 0 
0 0 0 1 0 0 0
0 0 0 0 1 0 0
0 1 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0

*/


代码:

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <vector>
using namespace std;

const int len = 1000 + 100;
int M[len][len];   //原方阵
int A[len][len];   //置新后方阵
int n, i, j;       //n表示方阵行数

void Wareshall()
{
    for(i = 1; i <= n; i++)
    {
        for(j = 1; j <= n; j++)
        {
            if(A[j][i] == 1)
            {
                for(int k = 1; k <= n; k++)
                {
                    A[j][k] = A[j][k] + A[i][k];
                    if(A[j][k] >= 1)
                    {
                        A[j][k] =  1;
                    }
                }
            }
        }
    }
}

int main()
{
    freopen("datain.txt","r",stdin);
    cout << "输入原方阵行数:" << endl;
    cin >> n;
    cout << endl;
    cout << "输入原关系矩阵(方阵):";
    for(i = 1; i <= n; i++)
    {
        for(j = 1; j <= n; j++)
        {
            cin >> M[i][j];
            A[i][j] = M[i][j];
        }
    }
    Wareshall();
    cout << "输出传递闭包对应关系矩阵:" << endl;
    for(i = 1; i <= n; i++)
    {
        for(j = 1; j <= n; j++)
        {
            cout << A[i][j] <<"  ";
        }
        cout << endl;
    }

    return 0;
}


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posted on 2015-10-01 02:54  Tob__yuhong  阅读(1137)  评论(0编辑  收藏  举报

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