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一个计算质数的Java程序

2004-09-21 12:43 531 查看
这个Java程序用来计算质数,基本原理就是判断整除,用一个ArrayList记录已知的质数,一开始放入3,5,7,11,13,17,19,23,29,然后从31开始对奇数进行for(int n=31; ;n+=2)循环,对每个待判断的n,用已知的质数依次判断是否能整除,如果得到一个新的质数,就把它放到ArrayList中。

特殊之处在于,我把它实现了序列化,每次启动时可以恢复到上次的状态,以下是源代码:

import java.io.*;
import java.util.*;

public class PrimeNumber implements Serializable
{
    private ArrayList list;
    private int nStart;
 
    public PrimeNumber()
    {
        list=new ArrayList(9);
        list.add(new Integer(3));
        list.add(new Integer(5));
        list.add(new Integer(7));
        list.add(new Integer(11));
        list.add(new Integer(13));
        list.add(new Integer(17));
        list.add(new Integer(19));
        list.add(new Integer(23));
        list.add(new Integer(29));
        nStart=31;
    }

 

    public void calculate(int number)
    {
        System.out.print("Start calculating prime numbers... ");
        if (number<=0)
            return;
        list.ensureCapacity(number);
        int nGot=0;
        boolean bPrime;
        int n;
        for(int nTest=nStart; ; nTest+=2)
        {
            bPrime=true;
            for(int i=0; i<list.size(); i++)
            {
                n=((Integer)(list.get(i))).intValue();
                if (nTest % n == 0)
                // not a prime number:
                {
                    bPrime=false;
                    break;
                }
            }
            if (bPrime) // found a prime number
            {
                list.add(new Integer(nTest));
                nGot++;
                System.out.print("/nFound "+nTest+", "+(number-nGot)+" left.");
                if (nGot==number) // ok, finish calculation.
                {
                    nStart=nTest+2;
                    System.out.println("/ndone./n");
                    return;
                }
            }
        }
    }
 
    public static boolean store(PrimeNumber obj)
    {
        ObjectOutputStream objOut = null;
        try
        {
            objOut=new ObjectOutputStream(new FileOutputStream("prime.obj"));
            objOut.writeObject(obj);
            return true;
        }
        catch(Exception e) {}
        finally {
            if(objOut!=null) {
                try { objOut.close(); } catch(Exception e) {}
            }
        }
        return false;
    }
 

    public static PrimeNumber load()
    {
        try
        {
            ObjectInput objIn=new ObjectInputStream(new FileInputStream("prime.obj"));
            PrimeNumber pn=(PrimeNumber)objIn.readObject();
            objIn.close();
            return pn;
        }
        catch(Exception e)
        {
        }
        return null;
    }

 
    public void display()
    {
        System.out.print("/nThere are " + (list.size()+1) + " prime numbers./n2/t");
        for(int i=0; i<list.size(); i++)
        {
            System.out.print(list.get(i).toString());
            System.out.print("/t");
        }
        System.out.println("/n");
    }
 
    public void displayLast()
    {
        int nStart=list.size()-20;
        System.out.println("/nThe last 20 prime numbers:");
        if(nStart<0)
            System.out.print("2/t");
        for(int i=nStart; i<list.size(); i++)
        {
            if (i>=0)
                System.out.print(list.get(i).toString()+"/t");
        }
        System.out.println("/n");
    }
 
    public void storeAsFile()
    {
        DataOutputStream dos = null;
        try {
            dos = new DataOutputStream(new BufferedOutputStream(
                  new FileOutputStream("prime.data")));
            dos.writeInt(2);
            for(int i=0; i<list.size(); i++) {
                dos.writeInt(((Integer)list.get(i)).intValue());
            }
            System.out.println("Prime numbers has been saved./n");
        }
        catch(Exception e) {
            System.out.println("There is an error occured. Saving failed./n");
        }
        finally {
            if(dos!=null) {
                try { dos.close(); } catch(Exception e) {}
            }
        }
    }
 
    public static void main(String[] args)
    {
        // first try to read from disk:
        System.out.print("Reading from file... ");
        PrimeNumber pn=PrimeNumber.load();
        if (pn==null)
        {
            System.out.println("failed./nCreate a new calculator... done.");
            pn=new PrimeNumber();
        }
        else
            System.out.println("done.");
        int sel;
        do
        {
            System.out.println("==============================================================");
            sel=pn.getCommand();
            switch(sel)
            {
                case 1:
                    pn.calculate(10);
                    break;
                case 2:
                    pn.calculate(100);
                    break;
                case 3:
                    pn.calculate(1000);
                    break;
                case 4:
                    pn.calculate(10000);
                    break;
                case 5:
                    pn.display();
                    break;
                case 6:
                    pn.displayLast();
                    break;
                case 7:
                    pn.storeAsFile();
                    break;
                case 8:
                    break;
                default:
                    System.out.println("Invalid command.");
            }
        }while(sel!=8);
        System.out.print("/nWriting to file... ");
        System.out.println(PrimeNumber.store(pn)==true?"done.":"failed.");
    }
 
    public int getCommand()
    {
        System.out.println("  Total "+(list.size()+1)+" prime numbers calculated. Select:");
        System.out.println("    1. Calculate next 10 prime numbers.");
        System.out.println("    2. Calculate next 100 prime numbers.");
        System.out.println("    3. Calculate next 1000 prime numbers.");
        System.out.println("    4. Calculate next 10000 prime numbers.");
        System.out.println("    5. Display all prime numbers.");
        System.out.println("    6. Display the last 20 numbers.");
        System.out.println("    7. Save all prime numbers as a file.");
        System.out.println("    8. Save all prime numbers and quit.");
        System.out.print  ("  Your selection: ");
        int sel=0;
        try
        {
            InputStreamReader isr=new InputStreamReader(System.in);
            sel=isr.read()-48;
        }
        catch(IOException e){}
        return sel;
    }
}


还可以把所有质数导出到文件,每4byte是一个质数,从小到大排列。我用这个程序计算了100,000个质数,算到的最大的质数是1299709
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