求最短路dijkstra算法模板(c++)

朴素算法:

#include
using namespace std;
const int N=510;
int dist[N],g[N][N],n,m;
bool st[N];
int dijkstra()
{
	memset(dist,0x3f,sizeof dist);
	dist[1]=0;
	for(int i=0;i<n-1;i++)
	{
		int t=-1;
		for(int j=1;j<=n;j++)
			if(!st[j]&&(t==-1||dist[j]<dist[t]))
				t=j;
		st[t]=true;
		for(int j=1;j<=n;j++)
			dist[j]=min(dist[j],dist[t]+g[t][j]);
	}
	if(dist[n]==0x3f3f3f3f)	return -1;
	return dist[n];
}
int main()
{
	memset(g,0x3f,sizeof g);
	cin>>n>>m;
	while(m--)
	{
		int a,b,c;
		cin>>a>>b>>c;
		g[a][b]=min(g[a][b],c);
	}
	cout<<dijkstra();
}

链式前向星+优先队列优化+dijkstra

#include
using namespace std;
typedef pair<int,int>PII;
const int N=1e5+10;
int n,m,h[N],w[N],e[N],ne[N],idx,dist[N];
bool st[N];
void add(int a,int b,int c)
{
	e[idx]=b,w[idx]=c,ne[idx]=h[a],h[a]=idx++;
}
int dijkstra()
{
	memset(dist,0x3f,sizeof dist);
	dist[1]=0;
	priority_queue<PII,vector<PII>,greater<PII>>heap;
	heap.push({0,1});
	while(heap.size())
	{
		auto t=heap.top();
		heap.pop();
		int ver=t.second,distance=t.first;
		if(st[ver])	continue;
		st[ver]=true;
		for(int i=h[ver];i!=-1;i=ne[i])
		{
			int j=e[i];
			if(dist[j]>distance+w[i])
			{
				dist[j]=distance+w[i];
				heap.push({dist[j],j});
			}
		}
	}
	if(dist[n]==0x3f3f3f)	return -1;
	return dist[n];
}
int main()
{
	cin>>n>>m;
	memset(h,-1,sizeof h);
	while(m--)
	{
		int a,b,c;
		cin>>a>>b>>c;
		add(a,b,c);
	}
	cout<<dijkstra()<<endl;
}

你可能感兴趣的:(算法模板)