


'''simple docstring'''
import unittest
from timeit import timeit



def 				lowerCAmelCase__	(       UpperCAmelCase    ,       UpperCAmelCase     ):






       """simple docstring"""





       snake_case__					:	Any          =					first_num if first_num >= second_num else second_num
       snake_case__					:	Optional[Any]          =					max_num
       while (common_mult % first_num > 0) or (common_mult % second_num > 0):
              common_mult += max_num
       return common_mult



def 				lowerCAmelCase__	(       UpperCAmelCase    ,       UpperCAmelCase     ):






       """simple docstring"""





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



def 				lowerCAmelCase__	(       UpperCAmelCase    ,       UpperCAmelCase     ):






       """simple docstring"""





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



def 				lowerCAmelCase__	(       ):






       """simple docstring"""





       snake_case__					:	Tuple          =					(
           """from __main__ import least_common_multiple_slow, least_common_multiple_fast"""
       )
       print(
           """least_common_multiple_slow():"""    ,       timeit("""least_common_multiple_slow(1000, 999)"""    ,       setup=UpperCAmelCase     )    ,       )
       print(
           """least_common_multiple_fast():"""    ,       timeit("""least_common_multiple_fast(1000, 999)"""    ,       setup=UpperCAmelCase     )    ,       )







class 					_A						(						unittest.TestCase							):



   '''simple docstring'''






   _lowercase    						= (
       (10, 20),
       (13, 15),
       (4, 31),
       (10, 42),
       (43, 34),
       (5, 12),
       (12, 25),
       (10, 25),
       (6, 9),
   )
   _lowercase    						= (20, 195, 124, 210, 1462, 60, 300, 50, 18)




   def   __lowerCAmelCase						(	self	:					Optional[int]						)->	Optional[Any]:
          for i, (first_num, second_num) in enumerate(self.test_inputs						):
                 snake_case__					:	List[Any]          =					least_common_multiple_slow(lowerCamelCase					, lowerCamelCase						)
                 snake_case__					:	Optional[Any]          =					least_common_multiple_fast(lowerCamelCase					, lowerCamelCase						)
                 with self.subTest(i=lowerCamelCase						):
                        self.assertEqual(lowerCamelCase					, self.expected_results[i]						)
                        self.assertEqual(lowerCamelCase					, self.expected_results[i]						)


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








'''simple docstring'''
import math



def 				lowerCAmelCase__	(       UpperCAmelCase     ):






       """simple docstring"""





       snake_case__					:	Tuple          =					math.log(2    ,       10     ) * number
       snake_case__					:	int          =					round((log_number - int(UpperCAmelCase     ))    ,       15     )

       return difference



def 				lowerCAmelCase__	(       UpperCAmelCase = 67_8910     ):






       """simple docstring"""





       snake_case__					:	str          =					90
       snake_case__					:	Dict          =					0

       snake_case__					:	List[str]          =					math.log(1.2_3    ,       10     )
       snake_case__					:	Optional[Any]          =					math.log(1.2_4    ,       10     )
       snake_case__					:	Any          =					0

       while position < number:
              snake_case__					:	Tuple          =					log_difference(UpperCAmelCase     )

              if difference >= upper_limit:
                     power_iterator += 93

              elif difference < lower_limit:
                     power_iterator += 196

              else:
                     snake_case__					:	Union[str, Any]          =					power_iterator
                     power_iterator += 196
                     position += 1

       return previous_power


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     print(f"""{solution() = }""")




