Leetcode Problem 878. Nth Magical Number

878. Nth Magical Number

Leetcode Solutions

Binary Search Approach

  1. Calculate the least common multiple (LCM) of a and b using the formula lcm(a, b) = (a * b) / gcd(a, b), where gcd is the greatest common divisor.
  2. Initialize the binary search range with low = 0 and high = n * min(a, b).
  3. While low is less than high: a. Calculate mid = (low + high) / 2. b. Calculate the number of magical numbers less than or equal to mid using the formula f(mid). c. If f(mid) is less than n, set low = mid + 1. d. If f(mid) is greater than or equal to n, set high = mid.
  4. Return low % (10^9 + 7) as the nth magical number.
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Mathematical Enumeration Approach

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