📜  门| GATE-CS-2015(套装1)|第 65 题

📅  最后修改于: 2021-09-24 05:55:08             🧑  作者: Mango

考虑以下伪代码,其中 x 和 y 是正整数。

begin
   q := 0
   r := x
while r >= y do
   begin
      r := r – y
      q := q + 1
   end
end 

程序终止后需要满足的后置条件为
(A) {r = qx + y ∧ r < y}
(B) {x = qy + r ∧ r < y}
(C) {y = qx + r ∧ 0 < r < y}
(D) { q + 1 0}答案:(乙)
说明:给定的伪代码对给定的 x 和 y 执行以下操作,它们是正整数。

1) It initializes r as x.
2) It repeatedly subtracts y from r until r becomes
   smaller than y.  For every subtraction, it 
   increments count q.
3) Finally r contains remainder, i.e., x%y and q contains
   ⌊x/y⌋

请参阅下面带有注释的伪代码。

begin
   q := 0  // q is going to contain floor(x/y)
   r := x  // r is going to contain x % y

// Repeatedly subtract y from x.
while r >= y do
   begin
      r := r – y
      q := q + 1
   end
end

这个问题的测验