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和ugly number II的思路很类似，要使得super ugly number 不漏掉，那么用每个因子去乘第一个，当前因子乘积是最小后，乘以下一个…..以此类推。

python令人难以接受的代码实现：

class Solution(object):    def nthSuperUglyNumber(self, n, primes):        """        :type n: int        :type primes: List[int]        :rtype: int        """        if n == 1:            return 1        if primes == None or len(primes) == 0:            return n                    length = len(primes)        index = [1] * length        dp = [1] * (n + 1)        dp[1] = 1        factor = copy.deepcopy(primes)                for i in range(2, n + 1):            factor_index = self.getIndexOfMin(factor)            dp[i] = factor[factor_index]            self.handleEqualFactors(factor_index, dp[i], factor, index, dp, primes)            index[factor_index] += 1            factor[factor_index] = primes[factor_index] * dp[index[factor_index]]                return dp[n]        def handleEqualFactors(self, factor_index, value, factor, index, dp, primes):        length = len(factor)        for i in range(factor_index + 1, length):            if factor[i] == value:                index[i] += 1                factor[i] = primes[i] * dp[index[i]]        def getIndexOfMin(self, factor):        length = len(factor)        index = 0        cur_min = factor[0]        for i in range(1, length):            if factor[i] < cur_min:                cur_min = factor[i]                index = i                return index

import heapqclass Solution(object):    def nthSuperUglyNumber(self, n, primes):        """        :type n: int        :type primes: List[int]        :rtype: int        """        length = len(primes)        idx = [0] * length        ans = [1]        minlist = [(primes[i]*ans[idx[i]], i) for i in xrange(len(idx))] #[(val, idx),(),...]，这里把val和idx算作tuple算进去。        heapq.heapify(minlist)        while len(ans) < n:            (umin, min_idx) = heapq.heappop(minlist)            idx[min_idx] += 1            if umin != ans[-1]:                ans.append(umin)            heapq.heappush(minlist, (primes[min_idx]*ans[idx[min_idx]], min_idx))        return ans[-1]

// http://www.hrwhisper.me/leetcode-super-ugly-number/public class Solution {    public int nthSuperUglyNumber(int n, int[] primes) {        int[] ugly_number = new int[n];        ugly_number[0] = 1;        PriorityQueue
   
     q = new PriorityQueue
    
     ();        for (int i = 0; i < primes.length; i++)            q.add(new Node(0, primes[i], primes[i]));        for (int i = 1; i < n; i++) {            Node cur = q.peek();            ugly_number[i] = cur.val;            do {                cur = q.poll();                cur.val = ugly_number[++cur.index] * cur.prime;                q.add(cur);            } while (!q.isEmpty() && q.peek().val == ugly_number[i]);        }        return ugly_number[n - 1];    }}class Node implements Comparable
     
       {    int index;    int val;    int prime;    Node(int index, int val, int prime) {        this.val = val;        this.index = index;        this.prime = prime;    }    public int compareTo(Node x) {        return this.val > x.val ? 1 : -1;    }}
     
    
   

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