HDU 1405  The Last Practice

本文探讨了一种解决复杂数值分解问题的高效算法,并通过实例代码展示了其应用。算法采用筛法预处理素数,对于输入的正整数进行分解,输出分解为素数乘积的形式。该文提供了完整的代码实现,包括素数筛法和分解过程,旨在帮助读者理解并实现相似的数值分解任务。

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The Last Practice

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 3835    Accepted Submission(s): 749


Problem Description
Tomorrow is contest day, Are you all ready?
We have been training for 45 days, and all guys must be tired.But , you are so lucky comparing with many excellent boys who have no chance to attend the Province-Final.

Now, your task is relaxing yourself and making the last practice. I guess that at least there are 2 problems which are easier than this problem.
what does this problem describe?
Give you a positive integer, please split it to some prime numbers, and you can got it through sample input and sample output.
 

Input
Input file contains multiple test case, each case consists of a positive integer n(1<n<65536), one per line. a negative terminates the input, and it should not to be processed.
 

Output
For each test case you should output its factor as sample output (prime factor must come forth ascending ), there is a blank line between outputs.
 

Sample Input
60
12
-1
 

Sample Output
Case 1.
2 2 3 1 5 1

Case 2.
2 2 3 1


Hint: 60=2^2*3^1*5^1
 

Author
lcy
 

Source
杭电ACM集训队训练赛(IV)
 

Recommend
Ignatius.L 
简单的题,但是却陷在PE不能自拔了,唉,崩溃啊,林子大了,啥鸟都有
注意两点,是输出之间加一个空行,最后的那个数据不能加空行,还有,每组数据最后是有个空格的,不要忘记加上了。
代码:
#include<stdio.h>
int prm[50000],a[70000]={0};
int main()
{
int i,j,k,n,flag,num;
k=0;
for(i=2;i<=65536;i++)
if(!a[i]){
prm[k++]=i;
for(j=i+i;j<=65536;j+=i)
a[j]=1;
}
flag=0;
while(1)
scanf("%d",&n);
if(n<0)break;
if(flag)
printf("\n");
flag++;
printf("Case %d.\n",flag);
for(i=0;i<k&&prm[i]<=n;i++)
{
num=0;
while(n%prm[i]==0){
num++;
n=n/prm[i];
}
if(num!=0){
if(n==1)printf("%d %d \n",prm[i],num);
else printf("%d %d ",prm[i],num);
}
}
}
return 0;
}
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