A super ugly number is a positive integer whose prime factors are in the array primes
.
Given an integer n
and an array of integers primes
, return the nth
super ugly number.
The nth
super ugly number is guaranteed to fit in a 32-bit signed integer.
Example 1:
Input: n = 12, primes = [2,7,13,19] Output: 32 Explanation: [1,2,4,7,8,13,14,16,19,26,28,32] is the sequence of the first 12 super ugly numbers given primes = [2,7,13,19].
Example 2:
Input: n = 1, primes = [2,3,5] Output: 1 Explanation: 1 has no prime factors, therefore all of its prime factors are in the array primes = [2,3,5].
Constraints:
1 <= n <= 106
1 <= primes.length <= 100
2 <= primes[i] <= 1000
primes[i]
is guaranteed to be a prime number.- All the values of
primes
are unique and sorted in ascending order.