用c语言设计最短路径算法,共有九个顶点,要求编程实现求任意两顶点之间的最短路径,注意是任意两顶点
时间: 2024-03-18 15:40:43 浏览: 60
好的,我可以为您提供一个基于Floyd算法的C语言实现,用于求解任意两个顶点之间的最短路径。下面是代码示例:
```c
#include <stdio.h>
#include <limits.h>
#define V 9 // 顶点数
#define INFINITY INT_MAX
int graph[V][V] = { // 图的邻接矩阵
{0, 1, 5, INFINITY, INFINITY, INFINITY, INFINITY, INFINITY, INFINITY},
{1, 0, 3, 7, 5, INFINITY, INFINITY, INFINITY, INFINITY},
{5, 3, 0, INFINITY, 1, 7, INFINITY, INFINITY, INFINITY},
{INFINITY, 7, INFINITY, 0, 2, INFINITY, 3, INFINITY, INFINITY},
{INFINITY, 5, 1, 2, 0, 3, 6, 9, INFINITY},
{INFINITY, INFINITY, 7, INFINITY, 3, 0, INFINITY, 5, INFINITY},
{INFINITY, INFINITY, INFINITY, 3, 6, INFINITY, 0, 2, 7},
{INFINITY, INFINITY, INFINITY, INFINITY, 9, 5, 2, 0, 4},
{INFINITY, INFINITY, INFINITY, INFINITY, INFINITY, INFINITY, 7, 4, 0}
};
void floyd(int dist[][V]) {
for (int k = 0; k < V; k++) {
for (int i = 0; i < V; i++) {
for (int j = 0; j < V; j++) {
if (dist[i][k] != INFINITY && dist[k][j] != INFINITY && dist[i][k] + dist[k][j] < dist[i][j]) {
dist[i][j] = dist[i][k] + dist[k][j];
}
}
}
}
}
int main() {
int dist[V][V];
for (int i = 0; i < V; i++) {
for (int j = 0; j < V; j++) {
dist[i][j] = graph[i][j];
}
}
floyd(dist);
for (int i = 0; i < V; i++) {
for (int j = 0; j < V; j++) {
printf("Distance from %d to %d is %d\n", i, j, dist[i][j]);
}
}
return 0;
}
```
在这个示例中,我们使用了邻接矩阵来表示图,并实现了Floyd算法来求解最短路径。在实际使用中,您需要将邻接矩阵替换为您的实际图形,并确定起点和终点。
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