[Codility] Lesson5 - CountDiv


Task discription


Write a function:
class Solution { public int solution(int A, int B, int K); }
that, given three integers A, B and K, returns the number of integers within the range [A..B] that are divisible by K, i.e.:
{ i : A ≤ i ≤ B, i mod K = 0 }
For example, for A = 6, B = 11 and K = 2, your function should return 3, because there are three numbers divisible by 2 within the range [6..11], namely 6, 8 and 10.
Write an efficient algorithm for the following assumptions:
  • A and B are integers within the range [0..2,000,000,000];
  • K is an integer within the range [1..2,000,000,000];
  • A ≤ B.
  • Source code

    #include <iostream>
    #include <algorithm>
    
    using namespace std;
    
    int solution(int A, int B, int K) {
        int ans = B/K - A/K;
        if(A%K == 0) ans++;
        return ans;
    }