Ugly Number 的定義為:該數之質因數必須為 2、3 或 5。
當然了,依照慣例,1 也算是 Ugly Number。
在此列舉一串數列:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15
這些就是前 11 個 Ugly Numbers。
請寫一個程式求出第 1500 個 Ugly Number。
Input
No input
Output
The 1500'th ugly number is <number>.
Attention
Your program must be smart enough to solve this problem in 30 seconds. If your program is not so efficient, it may take much time to run. Please be patient.