



"""simple docstring"""


from __future__ import annotations

def 					_lowerCAmelCase (  lowercase_						,      lowercase_						,      lowercase_						,      ):







						if not all((nth_term, start_term_a, common_ratio_r)		):
												return []
						UpperCAmelCase			 =					[]
						UpperCAmelCase			 =					1
						UpperCAmelCase			 =					common_ratio_r
						for _ in range(int(lowercase_		)		):
												if not series:
																		series.append(lowercase_		)
												else:
																		power += 1
																		series.append(float(start_term_a * multiple		)		)
																		UpperCAmelCase			 =					pow(float(lowercase_		)						,      lowercase_		)
						return series


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				snake_case_								=			float(input("""Enter the last number (n term) of the Geometric Series"""))
				snake_case_								=			float(input("""Enter the starting term (a) of the Geometric Series"""))
				snake_case_								=			float(
				    input("""Enter the common ratio between two terms (r) of the Geometric Series""")
				)
				print("""Formula of Geometric Series => a + ar + ar^2 ... +ar^n""")
				print(geometric_series(nth_term, start_term_a, common_ratio_r))








import unittest
from timeit import timeit







def 						_snake_case		(     SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE					)							->   int:

     """simple docstring"""







     _lowerCAmelCase :       List[str]	   =     first_num if first_num >= second_num else second_num
     _lowerCAmelCase :       List[str]	   =     max_num
     while (common_mult % first_num > 0) or (common_mult % second_num > 0):
          common_mult += max_num
     return common_mult







def 						_snake_case		(     SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE					)							->   int:

     """simple docstring"""







     return b if a == 0 else greatest_common_divisor(b % a		,				SCREAMING_SNAKE_CASE					)







def 						_snake_case		(     SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE					)							->   int:

     """simple docstring"""







     return first_num // greatest_common_divisor(SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE					) * second_num







def 						_snake_case		(     )							->   str:

     """simple docstring"""







     _lowerCAmelCase :       List[Any]	   =     (
         "from __main__ import least_common_multiple_slow, least_common_multiple_fast"
     )
     print(
         "least_common_multiple_slow():"		,				timeit("least_common_multiple_slow(1000, 999)"		,				setup=SCREAMING_SNAKE_CASE					)		,				)
     print(
         "least_common_multiple_fast():"		,				timeit("least_common_multiple_fast(1000, 999)"		,				setup=SCREAMING_SNAKE_CASE					)		,				)





class A__     (			unittest.TestCase			):



 """simple docstring"""







 _lowercase  :       Union[str, Any]  			=    (
     (10, 20),
     (13, 15),
     (4, 31),
     (10, 42),
     (43, 34),
     (5, 12),
     (12, 25),
     (10, 25),
     (6, 9),
 )
 _lowercase  :       Dict  			=    (20, 195, 124, 210, 1_462, 60, 300, 50, 18)

 def  __magic_name__							(		self			:						int							):






      '''simple docstring'''




      for i, (first_num, second_num) in enumerate(self.test_inputs							):
           _lowerCAmelCase :       Optional[int]	   =     least_common_multiple_slow(A_  ,    A_							)
           _lowerCAmelCase :       Optional[int]	   =     least_common_multiple_fast(A_  ,    A_							)
           with self.subTest(i=A_							):
                self.assertEqual(A_  ,    self.expected_results[i]							)
                self.assertEqual(A_  ,    self.expected_results[i]							)


if __name__ == "__main__":
  benchmark()
  unittest.main()






