Herhangi bir n ve m sayısı için herhangi bir çarpma operatörü kullanmadan n*m'yi bulmanız gerekir.
Örnekler:
Input: n = 25 m = 13 Output: 325 Input: n = 50 m = 16 Output: 800
Yöntem 1
Bu sorunu vardiya operatörü ile çözebiliriz. Fikir, her sayının ikili biçimde temsil edilebileceği gerçeğine dayanmaktadır. Bir sayıyla çarpma ise 2'nin kuvvetleriyle çarpmaya eşdeğerdir. Sola kaydırma operatörü kullanılarak 2'nin kuvvetleri elde edilebilir.
M'nin ikili gösterimindeki her ayarlı biti kontrol edin ve her ayarlı biti sola kaydırma n sayma süresini kontrol edin, burada m'nin ayarlı bitinin değeri yer alıyorsa sayın ve yanıta bu değeri ekleyin.
// CPP program to find multiplication // of two number without use of // multiplication operator #include using namespace std; // Function for multiplication int multiply(int n int m) { int ans = 0 count = 0; while (m) { // check for set bit and left // shift n count times if (m % 2 == 1) ans += n << count; // increment of place value (count) count++; m /= 2; } return ans; } // Driver code int main() { int n = 20 m = 13; cout << multiply(n m); return 0; }
Java // Java program to find multiplication // of two number without use of // multiplication operator class GFG { // Function for multiplication static int multiply(int n int m) { int ans = 0 count = 0; while (m > 0) { // check for set bit and left // shift n count times if (m % 2 == 1) ans += n << count; // increment of place // value (count) count++; m /= 2; } return ans; } // Driver code public static void main (String[] args) { int n = 20 m = 13; System.out.print( multiply(n m) ); } } // This code is contributed by Anant Agarwal.
Python3 # python 3 program to find multiplication # of two number without use of # multiplication operator # Function for multiplication def multiply(n m): ans = 0 count = 0 while (m): # check for set bit and left # shift n count times if (m % 2 == 1): ans += n << count # increment of place value (count) count += 1 m = int(m/2) return ans # Driver code if __name__ == '__main__': n = 20 m = 13 print(multiply(n m)) # This code is contributed by # Ssanjit_Prasad
C# // C# program to find multiplication // of two number without use of // multiplication operator using System; class GFG { // Function for multiplication static int multiply(int n int m) { int ans = 0 count = 0; while (m > 0) { // check for set bit and left // shift n count times if (m % 2 == 1) ans += n << count; // increment of place // value (count) count++; m /= 2; } return ans; } // Driver Code public static void Main () { int n = 20 m = 13; Console.WriteLine( multiply(n m) ); } } // This code is contributed by vt_m.
PHP // PHP program to find multiplication // of two number without use of // multiplication operator // Function for multiplication function multiply( $n $m) { $ans = 0; $count = 0; while ($m) { // check for set bit and left // shift n count times if ($m % 2 == 1) $ans += $n << $count; // increment of place value (count) $count++; $m /= 2; } return $ans; } // Driver code $n = 20 ; $m = 13; echo multiply($n $m); // This code is contributed by anuj_67. ?> JavaScript <script> // JavaScript program to find multiplication // of two number without use of // multiplication operator // Function for multiplication function multiply(n m) { let ans = 0 count = 0; while (m) { // check for set bit and left // shift n count times if (m % 2 == 1) ans += n << count; // increment of place value (count) count++; m = Math.floor(m / 2); } return ans; } // Driver code let n = 20 m = 13; document.write(multiply(n m)); // This code is contributed by Surbhi Tyagi. </script>
Çıkış
260
Zaman Karmaşıklığı: O(giriş)
Yardımcı Alan: Ç(1)
Yöntem 2
Döngülerde kaydırma operatörünü kullanabiliriz.
C++#include using namespace std; int multiply(int n int m){ bool isNegative = false; if (n < 0 && m < 0) { n = -n m = -m; } if (n < 0) { n = -n isNegative = true; } if (m < 0) { m = -m isNegative = true; } int result = 0; while (m){ if (m & 1) { result += n; } // multiply a by 2 n = n << 1; // divide b by 2 m = m >> 1; } return (isNegative) ? -result : result; } int main() { int n = 20 m = 13; cout << multiply(n m); return 0; }
Java // Java program for the above approach import java.io.*; class GFG { public static int multiply(int n int m){ boolean isNegative = false; if (n < 0 && m < 0) { n = -n; m = -m; } if (n < 0) { n = -n; isNegative = true; } if (m < 0) { m = -m; isNegative = true; } int result = 0; while (m>0){ if ((m & 1)!=0) { result += n; } // multiply a by 2 n = n << 1; // divide b by 2 m = m >> 1; } return (isNegative) ? -result : result; } public static void main (String[] args) { int n = 20 m = 13; System.out.println(multiply(n m)); } } // This code is contributed by Pushpesh Raj.
Python3 def multiply(n m): is_negative = False if n < 0 and m < 0: n m = -n -m if n < 0: n is_negative = -n True if m < 0: m is_negative = -m True result = 0 while m: if m & 1: result += n # multiply a by 2 n = n << 1 # divide b by 2 m = m >> 1 return -result if is_negative else result n = 20 m = 13 print(multiply(n m))
C# // C# program for the above approach using System; class GFG { public static int multiply(int n int m){ bool isNegative = false; if (n < 0 && m < 0) { n = -n; m = -m; } if (n < 0) { n = -n; isNegative = true; } if (m < 0) { m = -m; isNegative = true; } int result = 0; while (m>0){ if ((m & 1)!=0) { result += n; } // multiply a by 2 n = n << 1; // divide b by 2 m = m >> 1; } return (isNegative) ? -result : result; } public static void Main () { int n = 20 m = 13; Console.WriteLine(multiply(n m)); } } // This code is contributed by Utkarsh
JavaScript function multiply(n m) { let isNegative = false; if (n < 0 && m < 0) { n = -n m = -m; } if (n < 0) { n = -n isNegative = true; } if (m < 0) { m = -m isNegative = true; } let result = 0; while (m) { if (m & 1) { result += n; } // multiply a by 2 n = n << 1; // divide b by 2 m = m >> 1; } return (isNegative) ? -result : result; } console.log(multiply(20 13));
Çıkış
260
Zaman Karmaşıklığı : O(log(m))
Yardımcı Alan: O(1)
Related Article: Russian Peasant (Multiply two numbers using bitwise operators)Test Oluştur