使用二叉树的链式存储结构，创建一棵二叉树，进行前序、中序以及后序遍历，同时求得二叉树的结点个数以及叶子结点个数。
程序源代码：
# ifndef Bitree_H
# define Bitree_H
struct BiNode
{
char data;
BiNode *lchild,*rchild;
};
class Bitree
{
public:
Bitree(){root=Creat(root);}
~Bitree(){Release(root);}
void PreOrder(){PreOrder(root);}
void InOrder(){InOrder(root);}
void PostOrder(){PostOrder(root);}
void Count(){Count(root);}
void CountLeaf(){CountLeaf(root);}
private:
BiNode *root;
BiNode *Creat(BiNode *bt);
void Release(BiNode *bt);
void PreOrder(BiNode *bt);
void InOrder(BiNode *bt);
void PostOrder(BiNode *bt);
void Count(BiNode *bt);
void CountLeaf(BiNode *bt);
};
# endif
# include<iostream>
using namespace std;
# include"Bitree.h"
int count=0;
BiNode *Bitree::Creat(BiNode *bt)
{
char ch;
cout<<"请输入创建一棵二叉树的结点数据"<<endl;
cin>>ch;
if(ch=='#') return NULL;
else
{
bt=new BiNode;
bt->data=ch;
bt->lchild=Creat(bt->lchild);
bt->rchild=Creat(bt->rchild);
}
return bt;
}
void Bitree::Release(BiNode *bt)
{
if(bt!=NULL)
{
Release(bt->lchild);
Release(bt->rchild);
delete bt;
}
}
void Bitree::PreOrder(BiNode *bt)
{
if(bt==NULL) return;
else
{
cout<<bt->data<<" ";
PreOrder(bt->lchild);
PreOrder(bt->rchild);
}
}
void Bitree::InOrder(BiNode *bt)
{
if(bt==NULL) return;
else
{
InOrder(bt->lchild);
cout<<bt->data<<" ";
InOrder(bt->rchild);
}
}
void Bitree::PostOrder(BiNode *bt)
{
if(bt==NULL) return;
else
{
PostOrder(bt->lchild);
PostOrder(bt->rchild);
cout<<bt->data<<" ";
}
}
void Bitree::Count(BiNode *bt)
{
if(bt!=NULL)
{
Count(bt->lchild);
count++;
Count(bt->rchild);
cout<<count<<endl;
}
};
void Bitree::CountLeaf(BiNode *bt)
{
if(bt->lchild==NULL&&bt->rchild==NULL)
{
count++;
CountLeaf(bt->lchild);
CountLeaf(bt->rchild);
}
cout<<count;
}
# include<iostream>
using namespace std;
# include"Bitree.h"
int main()
{
Bitree T;
cout<<"————前序遍历————"<<endl;
T.PreOrder();
cout<<endl;
cout<<"————中序遍历————"<<endl;
T.InOrder();
cout<<endl;
cout<<"————后序遍历————"<<endl;
T.PostOrder();
cout<<endl;
cout<<"————结点数————"<<endl;
T.Count();
cout<<endl;
cout<<"————叶子结点数————"<<endl;
T.CountLeaf();
cout<<endl;
return 0;
}
程序结果：
