Write a program to find the nth
super ugly number.
Super ugly numbers are positive numbers whose all prime factors are in the given prime list primes
of size k
.
Example:
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 givenprimes
=[2,7,13,19]
of size 4.
Note:
1
is a super ugly number for any givenprimes
.- The given numbers in
primes
are in ascending order. - 0 <
k
≤ 100, 0 <n
≤ 106, 0 <primes[i]
< 1000. - The nth super ugly number is guaranteed to fit in a 32-bit signed integer.