Thursday 23 November 2017

C++ Program to Find Lowest Common Ancestor in a Binary Search Tree


Code:

#include   conio.h
#include   stdio.h
#include   iostream
using namespace std;
struct node
{
    int data;
    struct node* left, *right;
}*p = NULL;
struct node *lca(struct node* root, int n1, int n2)
{
    if (root == NULL)
return NULL;

    if (root->data > n1 && root->data > n2)
        return lca(root->left, n1, n2);

    if (root->data < n1 && root->data < n2)
        return lca(root->right, n1, n2);

    return root;

struct node* newNode(int data)
{
    p = new node;
    p->data = data;
    p->left = p->right = NULL;
    return(p);
}
int main()
{
    struct node *root = newNode(20);
    root->left = newNode(8);
    root->right = newNode(22);
    root->left->left = newNode(4);
    root->left->right = newNode(12);
    root->left->right->left = newNode(10);
    root->left->right->right = newNode(14);

    int n1 = 10, n2 = 14;
    struct node *t = lca(root, n1, n2);
    printf("LCA of %d and %d is %d \n", n1, n2, t->data);

    n1 = 14, n2 = 8;
    t = lca(root, n1, n2);
    printf("LCA of %d and %d is %d \n", n1, n2, t->data);

    n1 = 10, n2 = 22;
    t = lca(root, n1, n2);
    printf("LCA of %d and %d is %d \n", n1, n2, t->data);

    getch();
}


Output:

LCA of 10 and 14 is 12
LCA of 14 and 8 is 8
LCA of 10 and 22 is 20


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