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Консультация № 188981
17.03.2016, 22:49
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Рассмотрите следующий алгоритм:
алг Сумма (арг цел М, рез цел N)
нач вещ: S
S := 1
N := 1
вывод "Введите натуральное число М"
ввод М
нц пока S < М
N := N + 1
S := S + 1/N
кц
вывод N
кон
а) Для решения какой задачи предназначен этот алгоритм?
б) Ясно, что при М = 1 тело цикла не выполняется ни разу и, следовательно, алгоритм конечен. При любом ли значении М данный алгоритм конечен?
Рассмотрите следующий алгоритм:
алг Сумма (арг цел М, рез цел N)
нач вещ: S
S := 1
N := 1
вывод "Введите натуральное число М"
ввод М
нц пока S < М
N := N + 1
S := S + 1/N
кц
вывод N
кон
а) Для решения какой задачи предназначен этот алгоритм?
б) Ясно, что при М = 1 тело цикла не выполняется ни разу и, следовательно, алгоритм конечен. При любом ли значении М данный алгоритм конечен?
Обсуждение
17.03.2016, 23:45
общий
это ответ
Здравствуйте, Посетитель - 399097!
Алгоритм считает сумму обратных 1/n, пока она не достигнет M. Из анализа известно, что эта сумма неограниченно возрастает, примерно со скоростью логарифма, поэтому частичная сумма для любого M достигнет M, и алгоритм конечен. Будет выведено количество слагаемых этой суммы.
Поправка - так как в компьютере числа представляются с определенной точностью, для больших чисел алгоритм может и не закончится.
Алгоритм считает сумму обратных 1/n, пока она не достигнет M. Из анализа известно, что эта сумма неограниченно возрастает, примерно со скоростью логарифма, поэтому частичная сумма для любого M достигнет M, и алгоритм конечен. Будет выведено количество слагаемых этой суммы.
Поправка - так как в компьютере числа представляются с определенной точностью, для больших чисел алгоритм может и не закончится.
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