LeetCode: Super Ugly Number

LeetCode: Super Ugly Number

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. For example, [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] of size 4.

Note:

  1. 1 is a super ugly number for any given primes.
  2. The given numbers in primes are in ascending order.
  3. 0 < k ≤ 100, 0 < n ≤ 106, 0 < primes[i] < 1000.
  4. The nth super ugly number is guaranteed to fit in a 32-bit signed integer.
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public class Solution {
public int nthSuperUglyNumber(int n, int[] primes) {
if (n < 1 || primes == null || primes.length == 0) {
return 0;
}
if (n == 1) {
return 1;
}

int size = primes.length;
int[] pos = new int[size];

int[] dict = new int[n];
dict[0] = 1;
for (int i = 1; i < n; i++) {
int[] result = getBatchResult(pos, primes, dict);
int minPos = findMinIndex(result);
pos[minPos]++;
if (i > 0 && result[minPos] == dict[i - 1]) {
i--;
continue;
}
dict[i] = result[minPos];
}

return dict[n - 1];
}

private int[] getBatchResult(int[] pos, int[] primes, int[] dict) {
int[] result = new int[primes.length];
for (int i = 0; i < primes.length; i++) {
result[i] = primes[i] * dict[pos[i]];
}
return result;
}

private int findMinIndex(int[] arr) {
int min = 0;
for (int i = 1; i < arr.length; i++) {
if (arr[min] > arr[i]) {
min = i;
}
}
return min;
}
}