弗洛伊德算法及代码实现

 使用邻接矩阵来存储图的信息,然后使用三重for循环实现弗洛伊德算法。

#include 
#include
#include
#include
using namespace std;
const int inf = 1 << 26;
int main()
{
	int map[11][11];
	int m,n,i, j, w;
	
	for (int i = 1; i <= 10; i++) {
		for (int j = 1; j <= 10; j++) {
			if (i == j) map[i][j] = 0;
			else map[i][j] = inf;
		}
	}
	scanf("%d %d", &n, &m);
	for (int u = 1; u <= m; u++) {
		scanf("%d %d %d", &i, &j, &w);
		map[i][j] = w;
		map[j][i] = w;
	}
	for (int k = 1; k <= n; k++) {

		for (int i = 1; i <= n; i++) {
			if (map[i][k] == inf) continue;
			for (int j = 1; j <= n; j++) {
				if (i==j)continue;
				map[i][j] = min(map[i][j], map[i][k] + map[k][j]);
			}
		}
	}
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			cout << map[i][j] << " ";
		}
		cout << endl;
	}
	return 0;
}

 

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