2015年12月6日星期日

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.
Credits:
Special thanks to @peisi for adding this problem and creating all test cases.

public class Solution {
    public int nthSuperUglyNumber(int n, int[] primes) {
        int[] ret = new int[n];
        ret[0] = 1;

        int[] indexes  = new int[primes.length];
   
        for(int i = 1; i < n; i++){
            ret[i] = Integer.MAX_VALUE;
   
            for(int j = 0; j < primes.length; j++) {
                if (primes[j] * ret[indexes[j]] < ret[i]) {
                    ret[i] = primes[j] * ret[indexes[j]];
                }
            }
   
            for(int j = 0; j < indexes.length; j++){
                if(ret[i] == primes[j] * ret[indexes[j]]){
                    indexes[j]++;
                }
            }
        }
   
        return ret[n - 1];
    }
}

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