数据结构课程设计-关键路径#define max 20#include<iostream>#include<stdio.h>#include<malloc.h>using namespace std;typedef struct ArcNode//定义表结点{int adjvex;//该弧所指向顶点的位置struct ArcNode *nextarc;//指向下一条弧的指针int info;//该弧的权值}ArcNode;typedef struct VNode//定义头结点{int data;//顶点信息ArcNode *firstarc;//指向第一条依附该顶点的弧的指针}VNode,AdjList[max];typedef struct//定义ALGraph{AdjList vertices;int vexnum,arcnum;//图的当前顶点数和弧数int kind;//图的种类标志}ALGraph;typedef struct//定义栈{int *base;//栈底int *top;//栈顶}stack;void initstack(stack &s)//建立空栈{s.base=(int*)malloc(max*sizeof(int)); s.top=s.base;}int stackempty(stack s)//判断是否为空栈{if(s.base==s.top) return 1;else return 0;}int stackfull(stack s)//判断是否为满栈{if(s.top-s.base>=max) return 1;else return 0;}int pop(stack &s)//进行出栈{int e;//出栈先进行赋值，后移动指针if(!stackempty(s)){e=*(s.top-1);s.top--;return e;}else return NULL;}void push(stack &s,int e)//进行入栈{if(!stackfull(s)){s.top++;//进栈先移动指针，后进行赋值*(s.top-1)=e;}}void CreateDG(ALGraph &G)//创建邻接表的图{int k,i,j;char tag;cout<<"请输入图的顶点数目:"<<endl;//输入顶点数目cin>>G.vexnum;cout<<"请输入图的弧的数目:"<<endl;//输入弧的数目cin>>G.arcnum;cout<<"请确认是否输入弧的权值(y/n):"<<endl;cin>>tag;for(i=1;i<=G.vexnum;++i){G.vertices[i].data=i;//初始化顶点值G.vertices[i].firstarc=NULL;//初始化指针}cout<<"请输入弧的相关信息arc(V1-->V2)"<<endl;//构造弧for(k=1;k<=G.arcnum;++k){cout<<endl<<"请输入弧头"<<"[1,"<<G.vexnum<<"]:";cin>>i;cout<<"请输入弧尾"<<"[1,"<<G.vexnum<<"]:";cin>>j;while(i<1||i>G.vexnum||j<1||j>G.vexnum)//如果弧头或弧尾不合法,重新输入{cout<<endl<<"请再次输入弧头"<<"[1,"<<G.vexnum<<"]:";cin>>i;cout<<"请再次输入弧尾"<<"[1,"<<G.vexnum<<"]:";cin>>j;}ArcNode *p;p=(ArcNode*)malloc(sizeof(ArcNode));//分配内存if(!p){cout<<"Overflow!";//如果没有足够的空间,则退出}p->adjvex=j;//对弧结点的弧顶点数据域赋值p->nextarc=G.vertices[i].firstarc;//对弧结点下一条弧指针域赋值p->info=0; // 对弧结点相关信息指针域赋值G.vertices[i].firstarc=p; // 将弧结点插入到对应的单链表if(tag=='y'){cout<<"请输入弧的权值:";cin>>p->info;}}}void ShowMGraph(ALGraph G)//输出图G{int j;ArcNode *p;for(j=1;j<=G.vexnum;++j){if(G.vertices[j].firstarc)cout<<G.vertices[j].data<<"->";else cout<<G.vertices[j].data<<">";for(p=G.vertices[j].firstarc;p;p=p->nextarc)cout<<p->adjvex<<" "<<p->info<<" "<<p->adjvex<<"->"; cout<<endl;}}int degree(ALGraph G,int i)//求各顶点的入度{int *indegree,j,k;indegree=(int*)malloc((G.vexnum+1)*sizeof(int)); ArcNode *p;for(j=1;j<=G.vexnum;j++)indegree[j]=0;for(j=1;j<=G.vexnum;j++){for(p=G.vertices[j].firstarc;p;p=p->nextarc) {k=p->adjvex;++indegree[k];}}return indegree[i];}void critical(ALGraph G)//输出关键活动{ArcNode *p;int i,k,r,j,*ve,*vl,ee,el,count=0;int *indegree,length;indegree=(int*)malloc(G.vexnum*sizeof(int)); ve=(int*)malloc((G.vexnum+1)*sizeof(int)); vl=(int*)malloc((G.vexnum+1)*sizeof(int)); stack S,T;initstack(T);initstack(S);//一，求各顶点的入度for(j=1;j<=G.vexnum;j++)indegree[j]=degree(G,j);//二，求各顶点最早发生的时间vefor(j=1;j<=G.vexnum;j++)//入度为零则进栈if(indegree[j]==0)push(S,j);for(j=1;j<=G.vexnum;j++)//对该数组初始化ve[j]=0;while(!stackempty(S)){i=pop(S);push(T,i);++count;for(p=G.vertices[i].firstarc;p;p=p->nextarc) {k=p->adjvex; //顶点位置if(--indegree[k]==0) push(S,k);r=p->info;if(ve[i]+r>ve[k])ve[k]=ve[i]+r;}//for结束}//while结束if(count<G.vexnum) //判断AOE是否网有回路{cout<<"AOE网有回路!"<<endl;return;}//三，求各顶点的最迟时间for(j=1;j<=G.vexnum;j++)//对vl数组进行初始化vl[j]=ve[G.vexnum];while(!stackempty(T)){j=pop(T);for(p=G.vertices[j].firstarc;p;p=p->nextarc){k=p->adjvex;r=p->info;if(vl[k]-r<vl[j])vl[j]=vl[k]-r;}}//四，对活动的最早时间和最迟时间比较cout<<"============================================== ================"<<endl;printf(" 起点终点最早开始时间最迟完成时间差值备注\n"); for(j=1;j<=G.vexnum;j++)for(p=G.vertices[j].firstarc;p;p=p->nextarc){k=p->adjvex;r=p->info;ee=ve[j]; el=vl[k]-r;printf("%4d %4d %4d %4d %4d ",j,k,ve[j],vl[k]-r,vl[k]-r-ve[j]);if(ee==el)cout<<" 是关键活动"<<endl;elsecout<<" 不是关键活动"<<endl;}//for结束cout<<"============================================== ================"<<endl;length=ve[G.vexnum];cout<<endl<<"2.关键路径长度为："<<endl;cout<<" "<<length<<endl;//路径长度等于图最后顶点的最早时间}int main()//主函数{ALGraph G;cout<<"=============================="<<endl;cout<<"======1.创建邻接表图=========="<<endl;cout<<"======2.输出邻接表图=========="<<endl;cout<<"======3.寻找关键活动=========="<<endl;cout<<"======4.退出=================="<<endl;cout<<"=============================="<<endl;cout<<"请选择操作:"<<endl;int a;l1:{cin>>a;}system("cls");while(a<=4){switch(a){case 1:cout<<"请正确创建邻接表图:"<<endl; CreateDG(G);cout<<"Create ALGraph success !"<<endl; cout<<"请选择操作:"<<endl;goto l1;break;case 2:cout<<"输出该邻接表图如下:"<<endl; cout<<"=================="<<endl; ShowMGraph(G);cout<<"该图输出完毕!"<<endl;cout<<"=================="<<endl; cout<<"请选择操作:"<<endl;goto l1;break;case 3:cout<<"1.输出关键活动如下:"<<endl; critical(G);cout<<"请选择操作:"<<endl;goto l1;break;case 4:return 0;}}return 0;}原文已完。