Program to check if a number is divisible by any of its digits
Given an integer N where . The task is to check whether the number is not divisible by any of its digit. If the given number N is divisible by any of its digits then print “YES” else print “NO”.
Examples:
Input : N = 5115
Output : YES
Explanation: 5115 is divisible by both 1 and 5.
So print YES.
Input : 27
Output : NO
Explanation: 27 is not divisible by 2 or 7
Approach: The idea to solve the problem is to extract the digits of the number one by one and check if the number is divisible by any of its digit. If it is divisible by any of it’s digit then print YES otherwise print NO.
Below is the implementation of above approach:
C++
// C++ implementation of above approach #include <bits/stdc++.h> using namespace std; // Function to check if given number is divisible // by any of its digits string isDivisible( long long int n) { long long int temp = n; // check if any of digit divides n while (n) { int k = n % 10; // check if K divides N if (temp % k == 0) return "YES" ; n /= 10; } return "NO" ; } // Driver Code int main() { long long int n = 9876543; cout << isDivisible(n); return 0; } |
Java
// Java implementation of above approach class GFG { // Function to check if given number is divisible // by any of its digits static String isDivisible( int n) { int temp = n; // check if any of digit divides n while (n > 0 ) { int k = n % 10 ; // check if K divides N if (temp % k == 0 ) { return "YES" ; } n /= 10 ; } return "NO" ; } // Driver Code public static void main(String[] args) { int n = 9876543 ; System.out.println(isDivisible(n)); } } // This code is contributed by 29AjayKumar |
Python3
# Python program implementation of above approach # Function to check if given number is # divisible by any of its digits def isDivisible(n): temp = n # check if any of digit divides n while (n): k = n % 10 # check if K divides N if (temp % k = = 0 ): return "YES" n / = 10 ; # Number is not divisible by # any of digits return "NO" # Driver Code n = 9876543 print (isDivisible(n)) # This code is contributed by # Sanjit_Prasad |
C#
// C# implementation of above approach using System; class GFG { // Function to check if given number is divisible // by any of its digits static String isDivisible( int n) { int temp = n; // check if any of digit divides n while (n > 0) { int k = n % 10; // check if K divides N if (temp % k == 0) { return "YES" ; } n /= 10; } return "NO" ; } // Driver Code public static void Main(String[] args) { int n = 9876543; Console.WriteLine(isDivisible(n)); } } // This code is contributed by PrinciRaj1992 |
Javascript
<script> // Javascript implementation of above approach // Function to check if given number // is divisible by any of its digits function isDivisible(n) { temp = n; // Check if any of digit divides n while (n) { k = n % 10; // Check if K divides N if (temp % k == 0) return "YES" ; n = Math.floor(n / 10); } return "NO" ; } // Driver Code let n = 9876543; document.write(isDivisible(n)); // This code is contributed by sravan kumar </script> |
PHP
<?php // PHP implementation of above approach // Function to check if given number // is divisible by any of its digits function isDivisible( $n ) { $temp = $n ; // check if any of digit divides n while ( $n ) { $k = $n % 10; // check if K divides N if ( $temp % $k == 0) return "YES" ; $n = floor ( $n / 10); } return "NO" ; } // Driver Code $n = 9876543; echo isDivisible( $n ); // This code is contributed by Ryuga ?> |
Output
YES
Time Complexity: O(log(N))
Auxiliary Space: O(1), since no extra space has been required.
Method #2: Using string:
- We have to convert the given number to string by taking a new variable .
- Traverse the string ,
- Convert character to integer(digit)
- Check if the number is divisible by any of it’s digit then print YES otherwise print NO.
Below is the implementation of above approach:
C++
//C++ implementation of above approach #include <bits/stdc++.h> using namespace std; string getResult( int n) { // Converting integer to string string st = to_string(n); // Traversing the string for ( int i = 0; i < st.length(); i++) { //find the actual digit int d = st[i] - 48; // If the number is divisible by // digits then return yes if (n % d == 0) { return "Yes" ; } } // If no digits are dividing the // number then return no return "No" ; } // Driver Code int main() { int n = 9876543; // passing this number to get result function cout<<getResult(n); } // this code is contributed by SoumiikMondal |
Java
// JAva implementation of above approach import java.io.*; class GFG{ static String getResult( int n) { // Converting integer to string String st = Integer.toString(n); // Traversing the string for ( int i = 0 ; i < st.length(); i++) { //find the actual digit int d = st.charAt(i) - 48 ; // If the number is divisible by // digits then return yes if (n % d == 0 ) { return "Yes" ; } } // If no digits are dividing the // number then return no return "No" ; } // Driver Code public static void main(String[] args) { int n = 9876543 ; // passing this number to get result function System.out.println(getResult(n)); } } // this code is contributed by shivanisinghss2110 |
Python3
# Python implementation of above approach def getResult(n): # Converting integer to string st = str (n) # Traversing the string for i in st: # If the number is divisible by # digits then return yes if (n % int (i) = = 0 ): return 'Yes' # If no digits are dividing the # number then return no return 'No' # Driver Code n = 9876543 # passing this number to get result function print (getResult(n)) # this code is contributed by vikkycirus |
C#
// C# implementation of above approach using System; public class GFG{ static String getResult( int n) { // Converting integer to string string st = n.ToString(); // Traversing the string for ( int i = 0; i < st.Length; i++) { //find the actual digit int d = st[i] - 48; // If the number is divisible by // digits then return yes if (n % d == 0) { return "Yes" ; } } // If no digits are dividing the // number then return no return "No" ; } // Driver Code public static void Main(String[] args) { int n = 9876543; // passing this number to get result function Console.Write(getResult(n)); } } // this code is contributed by shivanisinghss2110 |
Javascript
<script> // JavaScript implementation of above approach function getResult(n) { // Converting integer to string let st = n.toString(); // Traversing the string for (let i = 0; i < st.length; i++) { //find the actual digit let d = st[i].charCodeAt(0) - 48; // If the number is divisible by // digits then return yes if (n % d == 0) { return "Yes" ; } } // If no digits are dividing the // number then return no return "No" ; } // Driver Code let n = 9876543; // passing this number to get result function document.write(getResult(n)); // This code is contributed by unknown2108 </script> |
Output:
Yes
Time Complexity: O(n)
Auxiliary Space: O(n)
Approach 3: Stack:
In this approach, we use a stack to store the digits of the given number.
- We push each digit of the number into the stack until the number becomes zero.
- Then, we pop each digit from the stack and check if it divides the original number evenly. If at any point a digit does not divide the original number evenly, we return “NO” from the function. If all the digits divide the original number evenly, we return “YES”.
- The idea behind this approach is that when we push the digits of the number into the stack, they are stored in the reverse order. When we pop them from the stack, we get the digits in the correct order. Therefore, we can easily check if each digit divides the original number evenly.
- This approach has a time complexity of O(log n), where n is the given number. The space complexity is also O(log n), as we need to store the digits of the number in the stack.
Here is the code of above approach:
C++
#include <bits/stdc++.h> using namespace std; // Function to check if given number is divisible // by any of its digits string isDivisible( long long int n) { stack< int > digits; // push all the digits onto the stack while (n) { digits.push(n % 10); n /= 10; } // check if any of digit divides n while (!digits.empty()) { int k = digits.top(); digits.pop(); // check if K divides N if (n % k == 0) return "YES" ; } return "NO" ; } // Driver Code int main() { long long int n = 9876543; cout << isDivisible(n); return 0; } |
Java
import java.util.*; class GFG { // Function to check if the given number is divisible by any of its digits static String isDivisible( long n) { Stack<Integer> digits = new Stack<>(); // Push all the digits onto the stack while (n != 0 ) { digits.push(( int )(n % 10 )); n /= 10 ; } // Check if any of the digits divides n while (!digits.empty()) { int k = digits.pop(); // Check if k divides n if (n % k == 0 ) return "YES" ; } return "NO" ; } // Driver code public static void main(String[] args) { long n = 9876543 ; System.out.println(isDivisible(n)); } } |
Python3
def isDivisible(n): digits = [] # push all the digits onto the stack while n: digits.append(n % 10 ) n / / = 10 # check if any of digit divides n for k in reversed (digits): if k ! = 0 and n % k = = 0 : # check if K divides N return "YES" return "NO" n = 9876543 print (isDivisible(n)) # Driver Code |
C#
using System; using System.Collections.Generic; public class GFG { // Function to check if given number is divisible // by any of its digits public static string IsDivisible( long n) { Stack< int > digits = new Stack< int >(); // push all the digits onto the stack while (n != 0) { digits.Push(( int )(n % 10)); n /= 10; } // check if any of digit divides n while (digits.Count > 0) { int k = digits.Pop(); // check if K divides N if (n % k == 0) return "YES" ; } return "NO" ; } // Driver Code public static void Main( string [] args) { long n = 9876543; Console.WriteLine(IsDivisible(n)); } } |
Javascript
// Function to check if given number is divisible // by any of its digits function isDivisible(n) { let digits = []; // push all the digits onto the stack while (n) { digits.push(n % 10); n = Math.floor(n / 10); } // check if any of digit divides n while (digits.length > 0) { let k = digits.pop(); // check if K divides N if (n % k == 0) return "YES" ; } return "NO" ; } // Driver Code let n = 9876543; console.log(isDivisible(n)); |
Output:
YES
Time Complexity: O(log(N))
Auxiliary Space: O(log n), where n is the given number.
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