Bellman-Ford(贝尔曼-福特)算法求单源最短路径

参考博客http://www.cnblogs.com/tanky_woo/archive/2011/01/17/1937728.html

/*
* About:  Bellman-Ford算法
* Author: Tanky Woo
* Blog:   www.WuTianqi.com
*/
 
#include <iostream>
using namespace std;
const int maxnum = 100;
const int maxint = 99999;
 
// 边,
typedef struct Edge{
    int u, v;    // 起点,重点
    int weight;  // 边的权值
}Edge;
 
Edge edge[maxnum];     // 保存边的值
int  dist[maxnum];     // 结点到源点最小距离
 
int nodenum, edgenum, source;    // 结点数,边数,源点
 
// 初始化图
void init()
{
    // 输入结点数,边数,源点
    cin >> nodenum >> edgenum >> source;
    for(int i=1; i<=nodenum; ++i)
        dist[i] = maxint;
    dist[source] = 0;
    for(int i=1; i<=edgenum; ++i)
    {
        cin >> edge[i].u >> edge[i].v >> edge[i].weight;
        if(edge[i].u == source)          //注意这里设置初始情况
            dist[edge[i].v] = edge[i].weight;
    }
}
 
// 松弛计算
void relax(int u, int v, int weight)
{
    if(dist[v] > dist[u] + weight)
        dist[v] = dist[u] + weight;
}
 
bool Bellman_Ford()
{
    for(int i=1; i<=nodenum-1; ++i)
        for(int j=1; j<=edgenum; ++j)
            relax(edge[j].u, edge[j].v, edge[j].weight);
    bool flag = 1;
    // 判断是否有负环路
    for(int i=1; i<=edgenum; ++i)
        if(dist[edge[i].v] > dist[edge[i].u] + edge[i].weight)
        {
            flag = 0;
            break;
        }
    return flag;
}
int main()
{
    //freopen("input3.txt", "r", stdin);
    init();
    if(Bellman_Ford())
        for(int i = 1 ;i <= nodenum; i++)
            cout << dist[i] << endl;
    return 0;
}
    原文作者:Bellman - ford算法
    原文地址: https://blog.csdn.net/u011499425/article/details/53057052
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