[LeetCode]Super Ugly Number | 书影博客



[LeetCode]Super Ugly Number | 书影博客

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.

题目大意:

编写程序寻找第n个"超级丑陋数"

超级丑陋数是指只包含给定的k个质因子的正数。例如,给定长度为4的质数序列primes = [2, 7, 13, 19],前12个超级丑陋数序列为:[1, 2, 4, 7, 8, 13, 14, 16, 19, 26, 28, 32]

注意:

(1) 1 被认为是超级丑陋数,无论给定怎样的质数列表.

(2) 给定的质数列表以升序排列.

(3) 0 < k ≤ 100, 0 < n ≤ 106, 0 < primes[i] < 1000.

解题思路:

解法I:

时间复杂度O(n * k),k为primes的长度

参考Ugly Number II http://bookshadow.com/weblog/2015/08/19/leetcode-ugly-number-ii/

Java代码:


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