C++ Program for Largest K digit number divisible by X
Last Updated :
05 Dec, 2018
Integers X and K are given. The task is to find highest K-digit number divisible by X.
Examples:
Input : X = 30, K = 3
Output : 990
990 is the largest three digit
number divisible by 30.
Input : X = 7, K = 2
Output : 98
An efficient solution is to use below formula.
ans = MAX - (MAX % X)
where MAX is the largest K digit
number which is 999...K-times
The formula works on simple school method division. We remove remainder to get the largest divisible number.
#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 = 30;
int K = 3;
cout << answer(X, K);
}
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Please refer complete article on Largest K digit number divisible by X for more details!
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