poj 1338 Ugly Numbers(丑数模拟)
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poj 1338 Ugly Numbers(丑数模拟)
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轉載請注明出處:http://blog.csdn.net/u012860063?
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題目鏈接:http://poj.org/problem?id=1338
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 0Sample Output
1 2 10PS:用一個長度為1500的數組存儲這些數,另有三個游標x,y,z;
a[1]=1。x=y=z=1,代表第一個數為1,此后的數都是通過已有的數乘以2,3,5得到的,
那么x,y,z分別代表a[x],a[y],a[z]能夠通過乘以2,3,5來得到新的數,i遞增。每次取2*a[x], 3*a[y], 5*a[z]
中的最小值。得到a[i]后。能夠將相應的x(或y,z)右移,當然假設原本通過3*2得到6,那么2*3也能得到6,
因此可能x和y都須要遞增。
詳見代碼:
#include <iostream> using namespace std; int min(int a, int b, int c) {return min(a,min(b,c)); } int main() {int a[1517];int x, y, z, i;x = y = z = 1, a[1] = 1;for(i = 2; i <= 1500; i++){a[i] = min(2*a[x],3*a[y],5*a[z]);if(a[i] == 2*a[x])x++;if(a[i] == 3*a[y])y++;if(a[i] == 5*a[z])z++;}int n;while(cin >> n && n){cout<<a[n]<<endl;}return 0; }
轉載于:https://www.cnblogs.com/yxwkf/p/5371179.html
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