super-ugly-number

Super Ugly Number

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nthSuperUglyNumber

A super ugly number is a positive integer whose prime factors are in the array <code>primes</code>.

Given an integer <code>n</code> and an array of integers <code>primes</code>, return the <code>nth</code> super ugly number.

The <code>nth</code> super ugly number is guaranteed to fit in a 32-bit signed integer.

&nbsp;
Example 1:

<pre>
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].
</pre>

Example 2:

<pre>
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].
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= n &lt;= 105</code></li>
	<li><code>1 &lt;= primes.length &lt;= 100</code></li>
	<li><code>2 &lt;= primes[i] &lt;= 1000</code></li>
	<li><code>primes[i]</code> is guaranteed to be a prime number.</li>
	<li>All the values of <code>primes</code> are unique and sorted in ascending order.</li>
</ul>

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