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Problem: Nth Magical Number

Statement

Given three integers n, a, and b, return the n^th 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 $10^9+7$ .

Constraints:

$1 \leq$ n $\leq 10^9$
$2 \leq$ a, b $\leq 4 \times 10^4$

Examples

Problem

Submissions

Debug

Problem: Nth Magical Number

Statement

Given three integers n, a, and b, return the n^th 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 $10^9+7$ .

Constraints:

$1 \leq$ n $\leq 10^9$
$2 \leq$ a, b $\leq 4 \times 10^4$

Examples