Problems > Multiples of A or B

Multiples of A or B

Difficulty: 1200 2000 ms 128 MB

math

How many integers in [1, N] are divisible by A or by B (or both)?

Input: one line with three integers N, A, B.

Output: the count of multiples of A or B up to N.

Constraints:

  • 1 ≤ N ≤ 1018
  • 1 ≤ A, B ≤ 109

Sample Tests

Input 1
10 2 3
Output 1
7
Input 2
15 5 3
Output 2
7

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