最短路径dijkstra算法代码c语言
时间: 2024-05-25 14:08:36 浏览: 135
Dijkstra算法是一种贪心算法,用于求解带权重的图中从一个点到其他所有点的最短路径。以下是Dijkstra算法的C语言代码实现:
```
#include <stdio.h>
#include <limits.h>
#define V 6
int minDistance(int dist[], bool sptSet[]) {
int min = INT_MAX, min_index;
for (int v = 0; v < V; v++)
if (sptSet[v] == false && 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];
bool sptSet[V];
for (int i = 0; i < V; i++)
dist[i] = INT_MAX, sptSet[i] = false;
dist[src] = 0;
for (int count = 0; count < V - 1; count++) {
int u = minDistance(dist, sptSet);
sptSet[u] = true;
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, 2, 0, 0, 0 },
{ 4, 0, 1, 5, 0, 0 },
{ 2, 1, 0, 8, 10, 0 },
{ 0, 5, 8, 0, 2, 6 },
{ 0, 0, 10, 2, 0, 3 },
{ 0, 0, 0, 6, 3, 0 } };
dijkstra(graph, 0);
return 0;
}
```
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