📄 最大公因數、最小公倍數、因式分解.mht
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Date: Wed, 13 Sep 2006 01:15:11 +0800
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<HTML><HEAD><TITLE>=B3=CC=A4j=A4=BD=A6]=BC=C6=A1B=B3=CC=A4p=A4=BD=AD=BF=BC=
=C6=A1B=A6]=A6=A1=A4=C0=B8=D1</TITLE>
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<H3><A=20
href=3D"http://caterpillar.onlyfun.net/Gossip/index.html">http://caterpil=
lar.onlyfun.net/Gossip/index.html</A></H3>
<H1><A=20
href=3D"http://www.java3z.com/cwbwebhome/article/article3/AlgorithmGossip=
/AlgorithmGossip.htm">Algorithm=20
Gossip: =
=B3=CC=A4j=A4=BD=A6]=BC=C6=A1B=B3=CC=A4p=A4=BD=AD=BF=BC=C6=A1B=A6]=A6=A1=A4=
=C0=B8=D1</A></H1>
<H2>=BB=A1=A9=FA</H2>=B3=CC=A4j=A4=BD=A6]=BC=C6=A8=CF=A5=CE=C1=D3=C2=E0=AC=
=DB=B0=A3=AAk=A8=D3=A8D=A1A=B3=CC=A4p=A4=BD=AD=BF=BC=C6=ABh=A5=D1=B3o=AD=D3=
=A4=BD=A6=A1=A8=D3=A8D=A1G<BR>
<DIV style=3D"MARGIN-LEFT: 40px"><SPAN style=3D"FONT-WEIGHT: bold">GCD * =
LCM =3D=20
=A8=E2=BC=C6=AD=BC=BFn</SPAN><BR></DIV>
<H2>=B8=D1=AAk</H2>=B3=CC=A4j=A4=BD=A6]=BC=C6=A5i=A5H=A8=CF=A5=CE=BB=BC=B0=
j=BBP=ABD=BB=BC=B0j=A8D=B8=D1=A1A=A6]=A6=A1=A4=C0=B8=D1=B0=F2=A5=BB=A4W=B4=
N=ACO=A8=CF=A5=CE=A4p=A9=F3=BF=E9=A4J=BC=C6=AA=BA=BC=C6=AD=C8=B7=ED=A7@=B0=
=A3=BC=C6=A1A=A5h=B0=A3=A5H=BF=E9=A4J=BC=C6=AD=C8=A1A=A6p=AAG=A5i=A5H=BE=E3=
=B0=A3=B4N=B5=F8=AC=B0=A6]=BC=C6=A1A=ADn=A4=F1=B8=FB=A7=D6=AA=BA=B8=D1=AA=
k=B4N=ACO=A8D=A5X=A4p=A9=F3=B8=D3=BC=C6=AA=BA=A9=D2=A6=B3=BD=E8=BC=C6=A1A=
=A8=C3=B8=D5=B8=D5=AC=DD=ACO=A4=A3=ACO=A5i=A5H=BE=E3=B0=A3=A1A=A8D=BD=E8=BC=
=C6=AA=BA=B0=DD=C3D=ACO=A5t=A4@=AD=D3=BD=D2=C3D=A1A=BD=D0=B0=D1=A6=D2=20
<A=20
href=3D"http://www.java3z.com/cwbwebhome/article/article3/AlgorithmGossip=
/EratosthenesPrime.htm">Eratosthenes=20
=BFz=BF=EF=A8D=BD=E8=BC=C6</A>=A1C<BR><BR>
<H2>=B9=EA=A7@=A1]=B3=CC=A4j=A4=BD=A6]=BC=C6=A1B=B3=CC=A4p=A4=BD=AD=BF=BC=
=C6=A1^</H2>
<UL>
<LI>C </LI></UL><PRE>#include <stdio.h> <BR>#include =
<stdlib.h> <BR><BR>int main(void) { <BR> int m, n, r; <BR> =
int s;<BR><BR> printf("=BF=E9=A4J=A8=E2=BC=C6=A1G"); <BR> =
scanf("%d %d", &m, &n); <BR> s =3D m * n;<BR><BR> while(n =
!=3D 0) { <BR> r =3D m % n; <BR> m =3D n; <BR> n =
=3D r; <BR> } <BR><BR> printf("GCD=A1G%d\n", m); <BR> =
printf("LCM=A1G%d\n", s/m); <BR><BR> return 0; <BR>} <BR></PRE><BR>
<UL>
<LI>Java </LI></UL><PRE>public class GcdLcm {<BR> public static int =
gcdOf(int m, int n) {<BR> int r;<BR> <BR> while(n =
!=3D 0) { <BR> r =3D m % n; <BR> m =3D n; <BR> =
n =3D r; <BR> }<BR> <BR> return m;<BR> =
}<BR> <BR> public static int lcmOf(int m, int n) {<BR> =
return m * n / gcdOf(m, n);<BR> }<BR> <BR> public static void =
main(String[] args) {<BR> System.out.println("GCD of (10, 4) =3D =
" + <BR> GcdLcm.gcdOf(10, 4));<BR> =
System.out.println("LCM of (10, 4) =3D " + <BR> =
GcdLcm.lcmOf(10, 4));<BR> }<BR>} <BR></PRE>
<H2>=B9=EA=A7@=A1]=A6]=A6=A1=A4=C0=B8=D1=A1^</H2>
<UL>
<LI>C=A1]=A4=A3=A5=CE=BD=E8=BC=C6=AA=ED=A1^ </LI></UL><PRE>#include =
<stdio.h> <BR>#include <stdlib.h> <BR><BR>int main(void) { =
<BR> int i, n; <BR><BR> =
printf("=BD=D0=BF=E9=A4J=BE=E3=BC=C6=A1G"); <BR> scanf("%d", &n); =
<BR> printf("%d =3D ", n); <BR><BR> for(i =3D 2; i * i <=3D n;) =
{ <BR> if(n % i =3D=3D 0) { <BR> printf("%d * ", i); =
<BR> n /=3D i; <BR> } <BR> else <BR> =
i++; <BR> } <BR><BR> printf("%d\n", n); <BR><BR> return 0; =
<BR>} <BR></PRE><BR>
<UL>
<LI>C=A1]=A8=CF=A5=CE=BD=E8=BC=C6=AA=ED=A1^ </LI></UL><PRE>#include =
<stdio.h> <BR>#include <stdlib.h> <BR><BR>#define N 1000 =
<BR><BR>int prime(int*); // =A8D=BD=E8=BC=C6=AA=ED <BR>void =
factor(int*, int); // =A8Dfactor <BR><BR>int main(void) { <BR> int =
ptable[N+1] =3D {0}; <BR> int count, i, temp; <BR><BR> count =3D =
prime(ptable); <BR><BR> printf("=BD=D0=BF=E9=A4J=A4@=BC=C6=A1G"); =
<BR> scanf("%d", &temp); <BR> factor(ptable, temp); <BR><BR> =
printf("\n"); <BR><BR> return 0; <BR> } <BR><BR> int prime(int* =
pNum) { <BR> int i, j; <BR> int prime[N+1]; <BR><BR> for(i =3D =
2; i <=3D N; i++) <BR> prime[i] =3D 1; <BR><BR> for(i =3D =
2; i*i <=3D N; i++) { <BR> if(prime[i] =3D=3D 1) { <BR> =
for(j =3D 2*i; j <=3D N; j++) { <BR> if(j % i =
=3D=3D 0) <BR> prime[j] =3D 0; <BR> } <BR> =
} <BR> } <BR><BR> for(i =3D 2, j =3D 0; i < N; i++) { =
<BR> if(prime[i] =3D=3D 1) <BR> pNum[j++] =3D i; <BR> =
} <BR><BR> return j; <BR>} <BR><BR>void factor(int* table, int num) =
{ <BR> int i; <BR><BR> for(i =3D 0; table[i] * table[i] <=3D =
num;) { <BR> if(num % table[i] =3D=3D 0) { <BR> =
printf("%d * ", table[i]); <BR> num /=3D table[i]; <BR> =
} <BR> else <BR> i++; <BR> } <BR><BR> =
printf("%d\n", num); <BR>}<BR> <BR></PRE><BR>
<UL>
<LI>Java=A1]=A8=CF=A5=CE=BD=E8=BC=C6=AA=ED=A1^ </LI></UL><PRE>import =
java.util.ArrayList;<BR><BR>public class Factor {<BR> public static =
int[] factor(int num) {<BR> int[] pNum =3D =
Prime.findPrimes(num);<BR> <BR> ArrayList list =3D new =
ArrayList();<BR> <BR> for(int i =3D 0; pNum[i] * pNum[i] =
<=3D num;) { <BR> if(num % pNum[i] =3D=3D 0) { <BR> =
list.add(new Integer(pNum[i]));<BR> num /=3D =
pNum[i]; <BR> } <BR> else <BR> i++; =
<BR> } <BR><BR> list.add(new Integer(num));<BR> =
<BR> int[] f =3D new int[list.size()];<BR> Object[] objs =
=3D list.toArray();<BR> for(int i =3D 0; i < f.length; i++) =
{<BR> f[i] =3D ((Integer) objs[i]).intValue();<BR> =
}<BR> <BR> return f;<BR> }<BR> <BR> public static =
void main(String[] args) {<BR> int[] f =3D =
Factor.factor(100);<BR> for(int i =3D 0; i < f.length; i++) =
{<BR> System.out.print(f[i] + " ");<BR> }<BR> =
System.out.println();<BR> }<BR>}</PRE><BR></BODY></HTML>
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