擁有超過500個因數的第一個三角數(1+2+3+4+......)spa
def findivisionnum(num): count = 0 n=1 import math while count<num: count = 0 for i in range(1,int(math.sqrt(triangle(n)))+1): if not triangle(n)%i: count +=2 if int(math.sqrt(triangle(n)))==math.sqrt(triangle(n)): count -=1 n += 1 return triangle(n-1) def triangle(n): return n*(n+1)/2
print findivisionnum(500)
[Finished in 13.9s]
def findlength(n): count = 0 while n!=1: if not n%2: n /=2 count +=1 else: n =3*n+1 count +1 countcopy=count count=0 return countcopy def lengthmax(num): i=1 max_count=1 max_number=0 while i<=num: if max_count<findlength(i): max_count=findlength(i) max_number=i i +=1 else: i +=1 return max_number print lengthmax(1000000)
def findsum1(num1): root=1 for i in range(1,2*num+1): root *= i for i in range(1,num+1): root /= i root /= i return root print findrout(20)