Package g0801_0900.s0878_nth_magical_number

Class Solution

java.lang.Object
g0801_0900.s0878_nth_magical_number.Solution
public class Solution extends java.lang.Object
878 - Nth Magical Number.

Hard

A positive integer is magical if it is divisible by either a or b.

Given the three integers n, a, and b, return the nth magical number. Since the answer may be very large, return it modulo 109 + 7.

Example 1:

Input: n = 1, a = 2, b = 3

Output: 2

Example 2:

Input: n = 4, a = 2, b = 3

Output: 6

Constraints:

  • 1 <= n <= 109
  • 2 <= a, b <= 4 * 104

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    nthMagicalNumber(int n, int a, int b)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • nthMagicalNumber

      public int nthMagicalNumber(int n, int a, int b)