素数是编程中经常需要用到的。
作为学习Python的示例,下面是一个高效求解一个范围内的素数的程序,不需要使用除法或者求模运算。
#coding:utf-8 #设置python文件的编码为utf-8,这样就可以写入中文注释 def primeRange(n): myArray=[1 for x in range(n+1)] ##列表解析,生成长度为(n+1)的列表,每个数值都为1 myArray[0]=0 myArray[1]=0 startPos=2 while startPos <= n: if myArray[startPos]==1: key=2 resultPos = startPos * key #可知startPos的整数倍都不是素数,设置startPos的整数倍的位置为0表示非素数 while resultPos <= n: myArray[resultPos] =0 key += 1 resultPos = startPos *key startPos += 1 resultList=[] ##将最终的素数保存在resultList列表返回 startPos=0 while startPos <= n: if myArray[startPos] == 1: resultList.append(startPos) startPos += 1 return resultList numString=raw_input("Input the Range(>3):") numInt=int(numString) if numInt <= 3: print "The Number Need to be greater than 3" else: primeResult=primeRange(numInt) print "The Result is:",primeResult

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