Solution: Nth Magical Number
Explore how to determine the nth magical number, defined as a positive integer divisible by either a or b, by applying the inclusion-exclusion principle and a binary search algorithm. Understand how to count multiples efficiently, compute the least common multiple, and optimize your solution within given constraints, all while keeping time complexity to a logarithmic scale.
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Statement
Given three integers n, a, and b, return the nth magical number.
A magical number is defined as a positive integer that is divisible by either a or b.
As the result may be very large, return it modulo
Constraints:
n...