偶早些时候写的一个将合数分解的程序,调试了很久才成功的,大家看看(似乎有些繁琐)。
#include "stdio.h"#include "malloc.h"
#include "math.h"
#define LEN sizeof(struct prime)
#define NULL 0
struct prime
{int pri;
int num;
struct prime *next;
};
int power(int n,int m)/*求幂*/
{
int i,s=1;
for(i=1;i<=m;i++) s*=n;
return s;
}
int prime(int n)/*判断素数*/
{
int i;
if(n==1) return 0;
else{
for(i=2;i<=sqrt(n);i++) {if(n%i==0) break;}
if(i>sqrt(n)) return 1;
else return 0;}
}
int product(struct prime *head,int i)/*求链表已建立部分除去最后一个节点的乘积*/
{
int pro=1;
struct prime *p=head;
for(;p->pri<i;p=p->next)
pro*=power(p->pri,p->num);
return pro;
}
struct prime *decompose(int composite)/*建立链表*/
{
struct prime *head,*p1,*p2;
int i,n=composite;
i=2;
while(i<composite/2)/*求出第一个节点*/
{
if(prime(i) && (composite%i==0))
{
head=p1=p2=(struct prime *)malloc(LEN);
p1->pri=i;p1->num=0;
while(n%i==0)
{p1->num++;n/=i;}
break;
}
if(i==2) i+=1;else i+=2;
}
if(power(p1->pri,p1->num)!=composite)
for(i=p1->pri+((p1->pri==2)?1:2);i<=composite/2;i+=2)
{
if(prime(i) && (composite%i==0))
{
n=composite;
p1=(struct prime *)malloc(LEN);
p1->pri=i;
p1->num=0;
while(n%i==0) {p1->num++;n/=i;}
p2->next=p1;
p2=p1;
if(p1->num)/*当所求的素数和他的幂足以分解所给合数时停止*/
{if(product(head,i)*power(p1->pri,p1->num)==composite) break;}
}
}
p2->next=NULL;
return head;
}
void main()
{
int composite;
struct prime *p;
scanf("%d",&composite);
if(prime(composite))
printf("This is a prime number.\n");
else
{
printf("The way of decomposing the composite is(prime number with its power):\n");
p=decompose(composite);
do
{printf("%d^%d ",p->pri,p->num);
p=p->next;
}while(p!=NULL);
}
}
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