python算法(斐波那契数列、质数、冒泡排序)

#-*- coding:utf-8 -*-
#author:wuzhong
#date:20200918

def Fibonacci_sequence(n=10):
    '''
    获取斐波那契数列
    斐波那契数列指的是从第3项开始,每一项都等于前两项之和,开始两项是0,1,如:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,377,...
    :param n:数列的第几位,默认10位
    :return: sequence 是列表数据
    '''
    sequence = []
    for i in range(n):
        if i < 2:
            sequence.append(i)
        else:
            sum = sequence[i-1] +sequence[i-2]
            sequence.append(sum)
    return sequence

def Prime_number(n=2,m=100):
    '''
    找出[n,m]范围内的质数
    质数:就是只能被1和本身整除的数,1除外,如2,3,5,7,11,13等等
    :param n: 大于1的整数
    :param m: 数据范围值
    :return: 数据在[n,m]的质数列表
    '''
    num = []
    for i in range(n,m):
        flag = True
        for j in range(2,i):
            #/为除数,%为取模
            if i%j == 0:
                flag = False
        #标记为true则为质数
        if flag:
            num.append(i)
    return num

def bubble_sort(data):
    '''
    冒泡排序原理:比较两个相邻的元素,将值大的元素交换到右边,每次都是从头开始进行比较
    :param data: 输入的数据
    :return: 返回排序结果
    '''
    length = len(data)
    for i in range(length):
        for j in range(0,length-i-1):
            if data[j] > data[j+1] :
                data[j],data[j+1] = data[j+1],data[j]
    return data

if __name__ == "__main__":
    print(Fibonacci_sequence(100))
    print(Prime_number(100,300))
    data = [7,6,5,4,3,9,8,2,1]
    print(bubble_sort(data))

输出:

[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, 2971215073, 4807526976, 7778742049, 12586269025, 20365011074, 32951280099, 53316291173, 86267571272, 139583862445, 225851433717, 365435296162, 591286729879, 956722026041, 1548008755920, 2504730781961, 4052739537881, 6557470319842, 10610209857723, 17167680177565, 27777890035288, 44945570212853, 72723460248141, 117669030460994, 190392490709135, 308061521170129, 498454011879264, 806515533049393, 1304969544928657, 2111485077978050, 3416454622906707, 5527939700884757, 8944394323791464, 14472334024676221, 23416728348467685, 37889062373143906, 61305790721611591, 99194853094755497, 160500643816367088, 259695496911122585, 420196140727489673, 679891637638612258, 1100087778366101931, 1779979416004714189, 2880067194370816120, 4660046610375530309, 7540113804746346429, 12200160415121876738, 19740274219868223167, 31940434634990099905, 51680708854858323072, 83621143489848422977, 135301852344706746049, 218922995834555169026]
[101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293]
[1, 2, 3, 4, 5, 6, 7, 8, 9]

 

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