把只包含质因子2、3和5的数称作丑数(Ugly Number)。例如6、8都是丑数,但14不是,因为它包含质因子7。 习惯上我们把1当做是第一个丑数。求按从小到大的顺序的第N个丑数。
1 # -*- coding:utf-8 -*- 2 class Solution: 3 def GetUglyNumber_Solution(self, index): 4 if index <= 6: 5 return index 6 i2,i3,i5= 0,0,0 7 dp = [0] * index 8 dp[0] = 1 9 for i in range(1,index): 10 next2 = dp[i2] * 2 11 next3 = dp[i3] * 3 12 next5 = dp[i5] * 5 13 dp[i] = min(next2,min(next3,next5)) 14 if dp[i] == next2: 15 i2 += 1 16 if dp[i] == next3: 17 i3 += 1 18 if dp[i] == next5: 19 i5 += 1 20 return dp[index-1] 21 # write code here