Ugly Numbers
Time Limit:1000MS Memory Limit:10000K
Total Submit:2558 Accepted:1121
Description
Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, ...
shows the first 10 ugly numbers. By convention, 1 is included.
Given the integer n,write a program to find and print the n'th ugly number.
Input
Each line of the input contains a postisive integer n (n <= 1500).Input is terminated by a line with n=0.
Output
For each line, output the n’th ugly number .:Don’t deal with the line with n=0.
Sample Input
1
2
9
0
Sample Output
2
10


Source
New Zealand 1990 Division I,UVA 136
my solution:
Source
Problem Id:1338 User Id:keepRunning
Memory:32K Time:0MS
Language:C Result:Accepted
Source 
#include<stdio.h>
int r[1501];
int Min(int a,int b,int c)...{
if(a<b)b=a;
if(b<c)c=b;
return c;
} 
int main()...{
int a;
int b;
int c;
int i;
int j;
r[1]=1;r[2]=2;r[3]=3;r[4]=4;r[5]=5;
a=3; b=2; c=2; 
for(i=6;i<=1500;i++)...{
r[i]=Min(r[a]*2,r[b]*3,r[c]*5);
for(;r[a]*2<=r[i];a++);
for(;r[b]*3<=r[i];b++);
for(;r[c]*5<=r[i];c++);
}
scanf("%d",&i);
while(i)...{
printf("%d ",r[i]);
scanf("%d",&i);
}
return 0;
} 


本文介绍了一种通过编程解决Ugly Numbers问题的方法。Ugly Numbers是指仅包含质因数2、3或5的数。文章提供了完整的C语言实现代码,并采用最小值选择策略来生成指定位置的Ugly Number。
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