Largest K digit number divisible by X in C++


In this tutorial, we are going to write a program that finds the largest k-digit number that is divisible by x.

Let's see the steps to solve the problem.

  • Initialise the x and k.
  • Find the value of pow(10, k) - 1 which is largest k-digit number.
  • Now, remove the remainder value from the above value to get the largest k-digit number that is divisible by x.

Example

Let's see the code.

 Live Demo

#include <bits/stdc++.h>
using namespace std;
int answer(int x, int k) {
   int max = pow(10, k) - 1;
   return max - (max % x);
}
int main() {
   int x = 45, k = 7;
   cout << answer(x, k) << endl;
   return 0;
}

Output

If you run the above code, then you will get the following result.

9999990

Conclusion

If you have any queries in the tutorial, mention them in the comment section.

Updated on: 09-Apr-2021

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