-
Notifications
You must be signed in to change notification settings - Fork 17
/
Lowest Common Ancestor in a Binary Search Tree
66 lines (56 loc) · 1.55 KB
/
Lowest Common Ancestor in a Binary Search Tree
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
#include <bits/stdc++.h>
using namespace std;
class node
{
public:
int data;
node* left, *right;
};
/* Function to find LCA of n1 and n2.
The function assumes that both
n1 and n2 are present in BST */
node *lca(node* root, int n1, int n2)
{
if (root == NULL) return NULL;
// If both n1 and n2 are smaller
// than root, then LCA lies in left
if (root->data > n1 && root->data > n2)
return lca(root->left, n1, n2);
// If both n1 and n2 are greater than
// root, then LCA lies in right
if (root->data < n1 && root->data < n2)
return lca(root->right, n1, n2);
return root;
}
/* Helper function that allocates
a new node with the given data.*/
node* newNode(int data)
{
node* Node = new node();
Node->data = data;
Node->left = Node->right = NULL;
return(Node);
}
/* Driver code*/
int main()
{
// Let us construct the BST
// shown in the above figure
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;
node *t = lca(root, n1, n2);
cout << "LCA of " << n1 << " and " << n2 << " is " << t->data<<endl;
n1 = 14, n2 = 8;
t = lca(root, n1, n2);
cout<<"LCA of " << n1 << " and " << n2 << " is " << t->data << endl;
n1 = 10, n2 = 22;
t = lca(root, n1, n2);
cout << "LCA of " << n1 << " and " << n2 << " is " << t->data << endl;
return 0;
}