码迷,mamicode.com
首页 > 其他好文 > 详细

263. Ugly Number && 264. Ugly Number II && 313. Super Ugly Number

时间:2016-07-11 13:51:17      阅读:226      评论:0      收藏:0      [点我收藏+]

标签:

263. Ugly Number

Write a program to check whether a given number is an ugly number.

Ugly numbers are positive numbers whose prime factors only include 2, 3, 5. For example, 6, 8 are ugly while 14 is not ugly since it includes another prime factor 7.

Note that 1 is typically treated as an ugly number.

 
Hide Tags
 Math
 
 
public class Solution {
    public boolean isUgly(int num) {
        if(num == 0)
            return false;
        num = removeFactor(num, 2);
        num = removeFactor(num, 3);
        num = removeFactor(num, 5);
        return num == 1;
        
    }
    
    private int removeFactor(int num, int factor)
    {
        while(num%factor==0)
        {
            num = num/factor;
        }
        return num;
    }
}

 

 

264. Ugly Number II

Write a program to find the n-th ugly number.

Ugly numbers are positive numbers whose prime factors only include 2, 3, 5. For example, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12 is the sequence of the first 10 ugly numbers.

Note that 1 is typically treated as an ugly number.

Hint:

  1. The naive approach is to call isUgly for every number until you reach the nth one. Most numbers are not ugly. Try to focus your effort on generating only the ugly ones.
  2. An ugly number must be multiplied by either 2, 3, or 5 from a smaller ugly number.
  3. The key is how to maintain the order of the ugly numbers. Try a similar approach of merging from three sorted lists: L1, L2, and L3.
  4. Assume you have Uk, the kth ugly number. Then Uk+1 must be Min(L1 * 2, L2 * 3, L3 * 5).

Hide Tags

 
 
public class Solution {
    public int nthUglyNumber(int n) {
        if(n==1) return 1;
        PriorityQueue<Long> q = new PriorityQueue();
        q.add(1l);
        
        for(long i=1; i<n; i++) {
            long tmp = q.poll();
            while(!q.isEmpty() && q.peek()==tmp) tmp = q.poll();
            
            q.add(tmp*2);
            q.add(tmp*3);
            q.add(tmp*5);
        }
        return q.poll().intValue();
    }
}

 

313. 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.

Hide Tags
Math Heap
Hide Similar Problems
(M) Ugly Number II
 
Slight modify the solution above will get a TimeLimitExceeded solutions
public class Solution {
    public int nthSuperUglyNumber(int n, int[] primes) {
        Arrays.sort(primes);
        if(n==1) 
            return 1;
        PriorityQueue<Long> q = new PriorityQueue();
        q.add(1l);
        
        for(long i=1; i<n; i++) {
            long tmp = q.poll();
            while(!q.isEmpty() && q.peek()==tmp) 
                tmp = q.poll();
            
            for(Integer p: primes)
            {
                q.add(tmp*p);
            }
        }
        return q.poll().intValue();
    }
}

 

 
 
 
 

263. Ugly Number && 264. Ugly Number II && 313. Super Ugly Number

标签:

原文地址:http://www.cnblogs.com/neweracoding/p/5659825.html

(0)
(0)
   
举报
评论 一句话评论(0
登录后才能评论!
© 2014 mamicode.com 版权所有  联系我们:gaon5@hotmail.com
迷上了代码!