二叉树--创建、遍历、求深度、求叶子结点

#include<stdio.h>
#include<stdlib.h>

typedef int TelemType;

typedef struct BinaryTreeNode
{
    TelemType data;
    struct BinaryTreeNode *Left;
    struct BinaryTreeNode *Right;
}Node;


//创建二叉树,顺序依次为中间节点->左子树->右子树
Node* createBinaryTree()
{
    Node *p;
    TelemType ch;
    scanf("%d",&ch);
    if(ch == 0)     //如果到了叶子节点,接下来的左、右子树分别赋值为0
    {
        p = NULL;
    }
    else
    {
        p = (Node*)malloc(sizeof(Node));
        p->data = ch;
        p->Left  = createBinaryTree();  //递归创建左子树,直到创建完左子树,才回溯遍历右子树
        p->Right = createBinaryTree();  //递归创建右子树,遍历完右子树后,回溯到根节点
    }
    return p;
}

//先序遍历
void preOrderTraverse(Node* root)
{
    if( root )
    {

        printf("%d ",root->data);
        preOrderTraverse(root->Left);
        preOrderTraverse(root->Right);
    }
}

//中序遍历
void inOrderTraverse(Node* root)
{
    if( root )
    {
        inOrderTraverse(root->Left);
        printf("%d ",root->data);
        inOrderTraverse(root->Right);
    }
}

//后序遍历
void lastOrderTraverse(Node* root)
{
    if( root )
    {
        lastOrderTraverse(root->Left);
        lastOrderTraverse(root->Right);
        printf("%d ",root->data);
    }
}

//二叉树节点总数目
int Nodenum(Node* root)
{
    if(root == NULL)
    {
        return 0;
    }
    else
    {
        return 1+Nodenum(root->Left)+Nodenum(root->Right);

    }
}

//二叉树的深度
int DepthOfTree(Node* root)
{
    if(root)
    {
        return DepthOfTree(root->Left)>DepthOfTree(root->Right)?DepthOfTree(root->Left)+1:DepthOfTree(root->Right)+1;
    }
    if( root == NULL )
    {
        return 0;
    }
}

//二叉树叶子节点数
int Leafnum(Node* root)
{
    if(!root)
    {
        return 0;
    }
    else if(  (root->Left == NULL) && (root->Right == NULL) )
    {
        return 1;
    }
    else
    {
        return  (Leafnum(root->Left) + Leafnum(root->Right)) ;
    }
}


int main()
{
    Node *root = NULL;

    root = createBinaryTree();
    printf("二叉树建立成功\n");



    printf("二叉树总结点数为:%d\n",Nodenum(root));


    printf("二叉树深度为:%d\n",DepthOfTree(root));


    printf("二叉树叶子节点数为:%d\n",Leafnum(root));

    printf("先序遍历二叉树:\n");
    preOrderTraverse(root);


    printf("\n中序遍历二叉树:\n");
    inOrderTraverse(root);


    printf("\n后序遍历二叉树:\n");
    lastOrderTraverse(root);

    return 0;
}

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转载自blog.csdn.net/mengdeng19950715/article/details/83310940
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