给定一个范围,即L和R,任务是确定我们是否可以形成对,使得每对的GCD为1。LR范围内的每个数字都应准确地包含在一对中。
例子:
Input: L = 1, R = 8
Output: Yes
{2, 7}, {4, 1}, {3, 8}, {6, 5}
All pairs have GCD as 1.
Input: L = 2, R = 4
Output: No
方法:由于范围(L,R)中的每个数字都必须在每对中精确地包含一次。因此,如果LR是偶数,则不可能。如果LR为奇数,则打印所有相邻对,因为相邻对始终将GCD设为1。
下面是上述方法的实现:
C++
// C++ program to print all pairs
#include
using namespace std;
// Function to print all pairs
bool checkPairs(int l, int r)
{
// check if even
if ((l - r) % 2 == 0)
return false;
/* We can print all adjacent pairs
for (int i = l; i < r; i += 2) {
cout << "{" << i << ", " << i + 1 << "}, ";
} */
return true;
}
// Driver Code
int main()
{
int l = 1, r = 8;
if (checkPairs(l, r))
cout << "Yes";
else
cout << "No";
return 0;
}
Java
// Java program to print all pairs
class GFG
{
// Function to print all pairs
static boolean checkPairs(int l, int r)
{
// check if even
if ((l - r) % 2 == 0)
return false;
/* We can print all adjacent pairs
for (int i = l; i < r; i += 2)
{
System.out.print("{"+i+", "+i + 1+"}, ");
} */
return true;
}
// Driver Code
public static void main(String[] args)
{
int l = 1, r = 8;
if (checkPairs(l, r))
System.out.println("Yes");
else
System.out.println("No");
}
}
// This code is contributed by mits
Python 3
# Python 3 program to print all pairs
# Function to print all pairs
def checkPairs(l, r) :
# check if even
if (l - r) % 2 == 0 :
return False
""" we can print all adjacent pairs
for i in range(l,r,2) :
print("{",i,",",i + 1, "},")
"""
return True
# Driver Code
if __name__ == "__main__" :
l, r = 1, 8
if checkPairs(l, r) :
print("Yes")
else :
print("No")
# This code is contributed by ANKITRAI1
C#
// C# program to print all pairs
using System;
class GFG
{
// Function to print all pairs
static bool checkPairs(int l, int r)
{
// check if even
if ((l - r) % 2 == 0)
return false;
/* We can print all adjacent pairs
for (int i = l; i < r; i += 2)
{
System.out.print("{"+i+", "+i + 1+"}, ");
} */
return true;
}
// Driver Code
static public void Main ()
{
int l = 1, r = 8;
if (checkPairs(l, r))
Console.Write("Yes");
else
Console.Write("No");
}
}
// This code is contributed by Raj
PHP
Javascript
输出:
Yes
时间复杂度: O(N)
辅助空间: O(1)
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