首先，我试图理解为什么我会得到一个溢出错误。第一个函数“fibGen”工作正常，除非我给予它一个疯狂的大第n斐波那契项。

#the golden ration function
    def fibGen(num):
            for number in range(0,num+1):
                val = (golden_ratio**number - (1 - golden_ratio)**number) / math.sqrt(5)
                print('{i:3}: {v:3}'.format(i=number, v=round(val)))

第二个函数“elemFib”将给予我正确的答案，但如果数字超过1500，则会出错。

#the find element < Max number function
    def elemFib(num):
            for number in range(0,num+1):
                val = (golden_ratio**number - (1 - golden_ratio)**number) / math.sqrt(5)
                if val < num:
                    print('Fib({}): {}'.format(number, round(val)))

最后，函数“pythonic”的工作原理与“elemFib”函数类似，即使是非常大的数字也不会给予我错误代码，**这是为什么？**此外，我试图让它像第一个函数“fibGen”一样打印斐波那契数字，但无法让它像第一个函数那样工作。

#Pythonic way
    def pythonic(num):
        a, b = 0,1

        while a < num:
            print(a, sep=" ", end=" ")
            a, b = b, a+b

我的完整代码供您审阅：

import math
    import time

    #create the golden Ratio formula
    golden_ratio = (1 + math.sqrt(5)) / 2

    #the timer function
    def clockTime(start_time):
        print('\nRun Time:', time.time() - start_time)

    #the golden ration function
    def fibGen(num):
            for number in range(0,num+1):
                val = (golden_ratio**number - (1 - golden_ratio)**number) / math.sqrt(5)
                print('{i:3}: {v:3}'.format(i=number, v=round(val)))

    #the find element < Max number function
    def elemFib(num):
            for number in range(0,num+1):
                val = (golden_ratio**number - (1 - golden_ratio)**number) / math.sqrt(5)
                if val < num:
                    print('Fib({}): {}'.format(number, round(val)))

    #Pythonic way
    def pythonic(num):
        a, b = 0,1

        while a < num:
            print(a, sep=" ", end=" ")
            a, b = b, a+b

    #display the Main Menu
    def dispMenu():
        print('---------------------Fibonacci Series ------------------\n')
        print('(A) Print Fibonacci numbers to the nth term')
        print('(B) Print Fibonacci numbers until element is less than Max number')
        print('(C) pythonic print')
        print('(Q) Quit the program\n')

    def  main():
              # set boolean control variable for loop
              loop = True

              #Create while loop for menu
              while loop:

                  #Display the menu
                  dispMenu()

                  #Get user's input
                  #choice = (input('Please make a selection: '))

                  #Get user's input
                  choice = input('Please make a selection: ').upper()

                  #Perform the selected action
                  if choice == 'A':
                      num = int(input("How many Fibonacci numbers should I print? "))
                      start_time = time.time()
                      fibGen(num)
                      clockTime(start_time)
                  elif choice == 'B':
                      num = int(input("the element should be less than? "))
                      start_time = time.time()
                      elemFib(num)
                      clockTime(start_time)
                  elif choice == 'C':
                      num = int(input('Pythonic Fibonacci series to the nth term? '))
                      start_time = time.time()
                      pythonic(num)
                      clockTime(start_time)
                  elif choice == 'Q':
                      print('\nExiting program, Thank you and Goodbye')
                      loop = False
                  else:
                      print('\nInvalid selection, try again\n')

    main()