本文實例講述了C++使用遞歸和非遞歸算法實現的二叉樹葉子節點個數計算方法。分享給大家供大家參考,具體如下:
/*求二叉樹葉子節點個數 -- 采用遞歸和非遞歸方法經調試可運行源碼及分析如下:***/#include <stdlib.h>#include <iostream>#include <stack>using std::cout;using std::cin;using std::endl;using std::stack;/*二叉樹結點定義*/typedef struct BTreeNode{ char elem; struct BTreeNode *pleft; struct BTreeNode *pright;}BTreeNode;/*求二叉樹葉子節點數葉子節點:即沒有左右子樹的結點遞歸方式步驟:如果給定節點proot為NULL,則是空樹,葉子節點為0,返回0;如果給定節點proot左右子樹均為NULL,則是葉子節點,且葉子節點數為1,返回1;如果給定節點proot左右子樹不都為NULL,則不是葉子節點,以proot為根節點的子樹葉子節點數=proot左子樹葉子節點數+proot右子樹葉子節點數。/*遞歸實現求葉子節點個數*/int get_leaf_number(BTreeNode *proot){ if(proot == NULL) return 0; if(proot->pleft == NULL && proot->pright == NULL) return 1; return (get_leaf_number(proot->pleft) + get_leaf_number(proot->pright));}/*非遞歸:本例采用先序遍歷計算判斷當前訪問的節點是不是葉子節點,然后對葉子節點求和即可。 **/int preorder_get_leaf_number(BTreeNode* proot){ if(proot == NULL) return 0; int num = 0; stack <BTreeNode*> st; while (proot != NULL || !st.empty()) { while (proot != NULL) { cout << "節點:" << proot->elem << endl; st.push(proot); proot = proot->pleft; } if (!st.empty()) { proot = st.top(); st.pop(); if(proot->pleft == NULL && proot->pright == NULL) num++; proot = proot -> pright; } } return num;}/*初始化二叉樹根節點*/BTreeNode* btree_init(BTreeNode* &bt){ bt = NULL; return bt;}/*先序創建二叉樹*/void pre_crt_tree(BTreeNode* &bt){ char ch; cin >> ch; if (ch == '#') { bt = NULL; } else { bt = new BTreeNode; bt->elem = ch; pre_crt_tree(bt->pleft); pre_crt_tree(bt->pright); }}int main(){ int tree_leaf_number = 0; BTreeNode *bt; btree_init(bt);//初始化根節點 pre_crt_tree(bt);//創建二叉樹 tree_leaf_number = get_leaf_number(bt);//遞歸 cout << "二叉樹葉子節點個數為:" << tree_leaf_number << endl; cout << "非遞歸先序遍歷過程如下:" << endl; tree_leaf_number = preorder_get_leaf_number(bt);//非遞歸 cout << "二叉樹葉子節點個數為:" << tree_leaf_number << endl; system("pause"); return 0;}/*運行結果:a b c # # # d e # # f # #---以上為輸入------以下為輸出---二叉樹葉子節點個數為:3非遞歸遍歷過程如下:節點:a節點:b節點:c節點:d節點:e節點:f二叉樹葉子節點個數為:3請按任意鍵繼續. . .本例創建的二叉樹形狀: a b d c e f*/
希望本文所述對大家C++程序設計有所幫助。
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