请用c语言编程实现Dijkstra算法并得出结果
时间: 2024-03-11 09:46:27 浏览: 60
C语言实现Dijkstra算法
好的,以下是用C语言编写的Dijkstra算法:
```c
#include <stdio.h>
#include <limits.h>
#define V 6
int minDistance(int dist[], int sptSet[]) {
int min = INT_MAX, min_index;
for (int i = 0; i < V; i++) {
if (sptSet[i] == 0 && dist[i] <= min) {
min = dist[i];
min_index = i;
}
}
return min_index;
}
void printSolution(int dist[]) {
printf("Vertex \t Distance from Source\n");
for (int i = 0; i < V; i++) {
printf("%d \t\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, 2, 0, 6, 0, 0},
{2, 0, 3, 8, 5, 0},
{0, 3, 0, 0, 7, 0},
{6, 8, 0, 0, 9, 10},
{0, 5, 7, 9, 0, 1},
{0, 0, 0, 10, 1, 0}
};
dijkstra(graph, 0);
return 0;
}
```
这个程序会输出从源节点到每个节点的最短路径。在这个例子中,源节点是0,图有6个节点。
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