用c语言写一个求最短路径的代码
时间: 2024-03-25 16:36:44 浏览: 63
好的,以下是一个简单的用C语言实现Dijkstra算法求最短路径的代码:
```c
#include <stdio.h>
#include <limits.h>
#define V 6 // 顶点数
int minDistance(int dist[], int sptSet[]) {
int min = INT_MAX, min_index;
for (int v = 0; v < V; v++) {
if (sptSet[v] == 0 && dist[v] <= min) {
min = dist[v];
min_index = v;
}
}
return min_index;
}
void printSolution(int dist[]) {
printf("Vertex \t Distance from Source\n");
for (int i = 0; i < V; i++) {
printf("%d \t %d\n", i, dist[i]);
}
}
void dijkstra(int graph[V][V], int src) {
int dist[V];
int sptSet[V];
for (int i = 0; i < V; i++) {
dist[i] = INT_MAX;
sptSet[i] = 0;
}
dist[src] = 0;
for (int count = 0; count < V - 1; count++) {
int u = minDistance(dist, sptSet);
sptSet[u] = 1;
for (int v = 0; v < V; v++) {
if (!sptSet[v] && graph[u][v] && dist[u] != INT_MAX && dist[u] + graph[u][v] < dist[v]) {
dist[v] = dist[u] + graph[u][v];
}
}
}
printSolution(dist);
}
int main() {
int graph[V][V] = {
{0, 4, 0, 0, 0, 0},
{4, 0, 8, 0, 0, 0},
{0, 8, 0, 7, 0, 4},
{0, 0, 7, 0, 9, 14},
{0, 0, 0, 9, 0, 10},
{0, 0, 4, 14, 10, 0}
};
dijkstra(graph, 0);
return 0;
}
```
这段代码实现了Dijkstra算法,以求解一个6个顶点的无向加权图的最短路径。其中,`graph`是一个邻接矩阵,表示图的结构和权重,`src`是源顶点的下标。
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