📄 帮妹妹做的java作业（最大公约数，最小公倍数）_st_洛洛亚的blog_新浪博客.htm
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<DIV style="DISPLAY: inline"><B
id=t_4ab199630100061t>帮妹妹做的java作业（最大公约数，最小公倍数）</B> <SPAN class=time>(2006-10-13
12:15:24)</SPAN> </DIV></DIV>
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<TD vAlign=top align=right width=225>分类：<A
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<DIV>类A完成最大公约数求解，然后类B利用A中的对象，得出最小公倍数。</DIV>
<DIV> <WBR></DIV>
<DIV>这是类A：</DIV>
<DIV> <WBR></DIV>
<DIV>package practice_3;</DIV>
<DIV>import javax.swing.JOptionPane;</DIV>
<DIV>public class
A<BR>{<BR>//最大公约数:A能被B整除,就说B是A的约数.两个数它所有的公约数中,最大的那个数就是它们的最大公约数.<BR> <WBR><BR> <WBR>static
int a;<BR> <WBR>static int b;<BR> <WBR><BR> <WBR>public void
getCoefficient()<BR> <WBR>{<BR> <WBR> <WBR>JOptionPane.showMessageDialog(null,"Please
input two number(must be int) and ensure that a must not smaller than
b");<BR> <WBR> <WBR>a=Integer.parseInt(JOptionPane.showInputDialog("Please
input the value of
a"));<BR> <WBR> <WBR>b=Integer.parseInt(JOptionPane.showInputDialog("Please
input the value of b"));<BR> <WBR>}<BR> <WBR><BR> <WBR>public int
doMax(int a,int b) <WBR> <WBR> <WBR>
//利用辗转相除法求解。每次把a%b的余数付给b，然后把b付给a，如此往复，就可以求得最大公约数。<BR> <WBR>{<BR> <WBR> <WBR>int
Max=0;<BR> <WBR> <WBR> <WBR> <WBR> <WBR> <WBR> <WBR>
if(b==0) return a;<BR> <WBR> <WBR>else return
doMax(b,a%b);<BR> <WBR>}<BR> <WBR><BR> <WBR>public static void
main(String[] args)<BR> <WBR>{<BR> <WBR> <WBR>A max=new
A();<BR> <WBR> <WBR>max.getCoefficient();<BR> <WBR> <WBR>JOptionPane.showMessageDialog(null,"最大公约数是："+max.doMax(a,b));<BR> <WBR>}</DIV>
<DIV>}<BR></DIV>
<DIV>这是类B：</DIV>
<DIV> <WBR></DIV>
<DIV>package practice_3;<BR>import javax.swing.JOptionPane;<BR>public class
B<BR>{<BR>/*最小公倍数算法<BR> <WBR>几个共有的倍数，叫做这几个数的公倍数，其中最小的一个，叫做这几个数的最小公倍数。<BR> <WBR>要找的是数要既是A的倍数,也是B的倍数.显然A*B是满足的,不过它虽然是公倍数,但不一定是最小的.<BR> <WBR>当求出最大公约数D后,相当与A/D与B/D互质,它们的最小公倍数为它们的乘积A/D*B/D.<BR> <WBR>所以A,B的最小公倍数是A/D*B/D*D=(A*B)/D<BR>*/<BR> <WBR>int
a,b,c,result;<BR> <WBR><BR> <WBR>public void
getCoefficient()<BR> <WBR>{<BR> <WBR> <WBR>JOptionPane.showMessageDialog(null,"Please
input two number(must be int) and please ensure a must not smaller than
b");<BR> <WBR> <WBR>a=Integer.parseInt(JOptionPane.showInputDialog("Please
input the value of
a"));<BR> <WBR> <WBR>b=Integer.parseInt(JOptionPane.showInputDialog("Please
input the value of b"));<BR> <WBR>}<BR> <WBR><BR> <WBR>public int
doMin() <WBR> <WBR> <WBR> <WBR> <WBR> <WBR> <WBR> <WBR>
//求解最小公倍数；<BR> <WBR>{<BR> <WBR> <WBR>A min=new
A(); <WBR> <WBR> <WBR> <WBR> <WBR> <WBR> <WBR> <WBR> <WBR>
//创建一个A类的实例；<BR> <WBR> <WBR>c=min.doMax(a,
b); <WBR> <WBR> <WBR> <WBR> <WBR>
//完成作业要求，B类中的变量c是A中的对象；<BR> <WBR> <WBR>result=(a*b)/c;<BR> <WBR> <WBR>return
result;<BR> <WBR>}<BR> <WBR>public static void main(String[]
args)<BR> <WBR>{<BR> <WBR> <WBR>B x=new
B();<BR> <WBR> <WBR>x.getCoefficient();<BR> <WBR> <WBR>JOptionPane.showMessageDialog(null,"最小公倍数是："+x.doMin()); <WBR><BR> <WBR>}</DIV>
<DIV>}<BR></DIV>
<DIV> <WBR></DIV></DIV>
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