python语言求因数方法的实现源码,python因数,要想做到python语言


要想做到python语言求因数方法,首先要明白其中的原理:
1、对由123456789这九个数字组成的9位数进行分解质因数
2、123457698=2x3x3x7x13x23x29x113,所以他的最大值因数是113
3、总共有362880种可能,从中找出最大值因数最小的数字和最大值因数最大的数

好了,下面来看看python语言求因数方法的实现源码:

#coding:utf-8import mathdef generator(count, s):    if count == 1:        for i in s:            yield i    else:        for i in s:            _ = set(s)            _.remove(i)            for _ in generator(count-1, _):                yield _ * 10 + iprimes = [2, 3]def prime(idx):    if idx < len(primes):        return primes[idx]    new = primes[-1]+2    while True:        for i in primes:            if new % i == 0:                break        else:            primes.append(new)            break        new += 2    return prime(idx)def probe(number, idx, value=0):    if value > number:        return value    p = prime(idx)    sqrt = math.sqrt(number)    while number % p != 0 and sqrt >= p:        idx += 1        p = prime(idx)    if sqrt < p:        return number    return probe(number/p, idx, max(p, value))#www.iplaypy.comif __name__ == '__main__':    _min = 10000000000, 10000000000    _max = 0, 0    for number in generator(9, set(range(1, 10))):        maxfactor = probe(number, 0)        if maxfactor < _min[0]:            _min = maxfactor, [number]        elif maxfactor == _min[0]:            _min[1].append(number)        if maxfactor > _max[0]:            _max = maxfactor, [number]        elif maxfactor == _max[0]:            _max[1].append(number)    print _min    print _max

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