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Title:鼎鼎网-中国领先的高端发行服务机构 // 机场VIP贵宾厅报刊展示发行|企业报刊解决方案|数字出版解决方案Description:鼎鼎网是上海鼎鼎报刊发行有限公司官方网站，公司专注于高品质文化传播。现主要服务有机场VIP贵宾厅报刊展示发行，企业报刊征订服务，数字出版解决方案。Keywords:鼎鼎网, 鼎鼎报局, 机场贵宾室, 杂志展示, 报刊展示, 机场展示, 机场VIP, 东航VIP, 贵宾室, 渠道展示, 机场贵宾厅, 上海机场, 北京机场, iPad杂志, 电子杂志, 数字出版
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Domain Name:
Registry Domain ID:
_DOMAIN_COM-VRSN
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HICHINA ZHICHENG TECHNOLOGY LTD.
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Not Available From Registry
Registrant Name:
Wang Shan Feng
Registrant Organization:
Wang Shan Feng
Registrant Street:
15lujiazui road shanghai,,
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Not Available From Registry
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HiChina Web Solutions (Hong Kong) Limited
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3/F., HiChina Mansion,,No.27 Gulouwai Avenue Dongcheng District,,Beijing, China
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HiChina Web Solutions (Hong Kong) Limited
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3/F., HiChina Mansion,,No.27 Gulouwai Avenue Dongcheng District,,Beijing, China
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HiChina Web Solutions (Hong Kong) Limited
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3/F., HiChina Mansion,,No.27 Gulouwai Avenue Dongcheng District,,Beijing, China
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& Global Domain Web Analytics. All rights reserved.2.1.1 求两个整数a,b(a&b)最大公约数与最小公倍数2.1.2 求多个整数的最大公约数与最小公倍数2.1 最大公约数与最小公倍数&&& 试求若干个书籍正整数的最大公约数与最小公倍数。&&& 为方便表述，记：&&&&&&& (a1,a2,...,an)为n个正整数a1,a2,...,an的最大公约数；&&&&&&& {a1,a2,...an}为n个正整数a1,a2,...,an的最小公倍数。2.1.1 求两个整数a,b(a&b)最大公约数与最小公倍数算法分析如下：&&& 求两个整数a,b(a&b)的最大公约数通常采用&辗转相除&法；&&& 1)a除以b得余数r；若r=0，则b为所求的最大公约数。&&& 2)若r!=0，以b为a,r为b，继续1)。&&& 注意到任两整数总存在最大公约数，上述辗转相除过程中余数逐步变小，相除过程总会结束。&&& 两整数a,b的最小公倍数与最大公约数有如下简单关系： {a,b}(a,b)=ab&&& 因而由求得的最大公约数即可根据上式求得最小公倍数。&&& 在实际设计中，直接按最大公约数与最小公倍数的定义来实施，显得更为直观，也更为方便。按&辗转相除法&设计，程序代码如下：#include&stdio.h&void swap(int *,int *);void main(){&&&&int a,b,m,n,r;&&&&&&printf(&输入正整数a,b:&);&&& scanf(&%d,%d&,&a,&b);&&& if(a&b) swap(&a,&b);&&& m=a;n=b;r=a%b;&&& while(r!=0)&&& {&&&&&&& a=b;b=r;&&&&&&& r=a%b;&&& }&&& printf(&( %d, %d ) = %d/n&,m,n,b);&&& printf(&{ %d, %d&} = %d/n&,m,n,m*n/b);}void swap(int *a,int *b){&&&&&& temp=*a;&&& *a=*b;&&& *b=}程序运行结果如下：输入正整数：a,b 90,108(108,90) = 18{108,90} = 540-------------------------------------------------2.1.2 求多个整数的最大公约数与最小公倍数对于3个或3个以上整数，最大公约数与最小公倍数有以下性质：&&& (a1,a2,a3)=((a1,a2),a3)&&&&(a1,a2,a3,a4)=((a1,a2,a3),a4),...&&& {a1,a2,a3}={{a1,a2},a3}&&& {a1,a2,a3,a4}={{a1,a2,a3},a4},...&&& 应用这一性质，要求n个数的最大公约数，先求出前n-1个数的最大公约数t,再求第n个数与t的最大公约数。求n个数的最小公倍数也一样。这样递推实现求多个整数的最大公约数与最小公倍数。程序代码如下：#include&stdio.h&int gy(int,int);int gb(int,int);void main(){&&& int a,b,c,d,i=2;&int aa[10];&&& printf(&n个整数的最大公约记为(a1,a2,...an)/n&);&&& printf(&n个整数的最小公倍记为{a1,a2,...an}/n&);&&& printf(&n个整数逐个从键盘输入，以-1终止/n&);&&& printf(&首先输入两个数a,b/n&);&&& scanf(&%d,%d&,&a,&b);&&& c=a;&&& d=a;&& &aa[0]=a;aa[1]=b;&&& while(b&0)&&& {&&&&&&& c=gy(c,b);&&&&&&& /*调用最大公约数函数*/&&&&&&& d=gb(d,b);&&&&&&& /*调用最小公倍数函数*/&&&&&&& printf(&输入下一个整数(输入-1结束)：to b:& &);&&&&&&& scanf(&%d&,&b);&&&&& &&aa[i]=b;&&&&&&& i++;&&& }&&& printf(&(&);&&& for(i=0;aa[i]!=-1;i++)&&&& &&printf(&%d,&,aa[i]);&& &printf(&) = %d/n&,c);&&& printf(&{&);&& &for(i=0;aa[i]!=-1;i++)&&&& &&printf(&%d,&,aa[i]);&& &printf(&} = %d/n&,d);}int gy(int x,int y){&&&& &&& for(c=x;c&=1;c--)&&& {&&&&&&& if((x/c==(float)x/c)&&(y/c==(float)y/c))&&&&&&&&&&&&&& }&&&}int gb(int x,int y){&&&&&& for(d=x; d&=x*y;d+=x)&&& {&&&&&&& if(d/y==(float)d/y)&&& }&&&}程序运行结果如下
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