Skip to main content

Featured Post

How to use Tabs in ASP.NET CORE

I want to show Components in a tabs , so first of all create few components. In this project we have three components, First View Component  public class AllViewComponent : ViewComponent     {         private readonly UserManager<ApplicationUser> _userManager;         public AllViewComponent(UserManager<ApplicationUser> userManager)         {             _userManager = userManager;         }         public async Task<IViewComponentResult> InvokeAsync()         {             List<StudentViewModel> allUsers = new List<StudentViewModel>();             var items = await _userManager.Users.ToListAsync();             foreach (var item in items)             {                 allUsers.Add(new StudentViewModel {Id=item.Id, EnrollmentNo = item.EnrollmentNo, FatherName = item.FatherName, Name = item.Name, Age = item.Age, Birthdate = item.Birthdate, Address = item.Address, Gender = item.Gender, Email = item.Email });             }            

Design an algorithm to find the GCD and LCM of two positive numbers

Problem : Design an algorithm to find the GCD (Greatest Common Divisor) of two positive numbers and use the same to find LCM of two positive numbers.

Input: Two Numbers
Output : Least Common Multiple of two numbers.

GCD(NUM1, NUM2)
Rem <-- NUM1 % NUM2  [% Modulus Operator]
Repeat While Rem <> 0
NUM1 <-- NUM2
NUM2 <-- Rem
Rem <-- NUM1 % NUM2
[End of While]
Return NUM2
Exit.

LCM(NUM1, NUM2)
Return (NUM1 * NUM2) / GCD( NUM1, NUM2)
Exit.

NOTE : Here in this example algorithm, finding LCM in the main problem that can be divided into sub-problem like finding the GCD first and using the same to solve the main problem. So, GCD algorithm is written first and than the other algorithm that can be divided into small problems and algorithm can be written to solve such small problems.

Tracing

Suppose that the LCM algorithm is called using 12 and 16. The algorithm calls GCD with 12 and 16.

Rem <-- 12 % 16 i.e. Rem= 12
Rem is not equal to zero. So, NUM1=16 and NUM2 =12
Rem<-- 16%12 i.e. Rem=4
Rem is not equal to Zero. So, NUM1 =12 and NUM2 =4
Rem <-- 12 % 4 i.e. Rem=0
Rem is equal to Zero.
So, GCD algorithm returns NUM2 that is 4.

When the algorithm LCM gets the result from GCD algorithm its find the expression value
(NUM1 * NUM2) / GCD (NUM1, NUM2).  i.e. (12 * 16)/4

It is equal to 48. 48 is the LCM of 12 and 16

Comments

Popular Post

Polynomial representation using Linked List for Data Structure in 'C'

Polynomial representation using Linked List The linked list can be used to represent a polynomial of any degree. Simply the information field is changed according to the number of variables used in the polynomial. If a single variable is used in the polynomial the information field of the node contains two parts: one for coefficient of variable and the other for degree of variable. Let us consider an example to represent a polynomial using linked list as follows: Polynomial:      3x 3 -4x 2 +2x-9 Linked List: In the above linked list, the external pointer ‘ROOT’ point to the first node of the linked list. The first node of the linked list contains the information about the variable with the highest degree. The first node points to the next node with next lowest degree of the variable. Representation of a polynomial using the linked list is beneficial when the operations on the polynomial like addition and subtractions are performed. The resulting polynomial can also

How to use Tabs in ASP.NET CORE

I want to show Components in a tabs , so first of all create few components. In this project we have three components, First View Component  public class AllViewComponent : ViewComponent     {         private readonly UserManager<ApplicationUser> _userManager;         public AllViewComponent(UserManager<ApplicationUser> userManager)         {             _userManager = userManager;         }         public async Task<IViewComponentResult> InvokeAsync()         {             List<StudentViewModel> allUsers = new List<StudentViewModel>();             var items = await _userManager.Users.ToListAsync();             foreach (var item in items)             {                 allUsers.Add(new StudentViewModel {Id=item.Id, EnrollmentNo = item.EnrollmentNo, FatherName = item.FatherName, Name = item.Name, Age = item.Age, Birthdate = item.Birthdate, Address = item.Address, Gender = item.Gender, Email = item.Email });             }            

Memory representation of Linked List Data Structures in C Language

                                 Memory representation of Linked List              In memory the linked list is stored in scattered cells (locations).The memory for each node is allocated dynamically means as and when required. So the Linked List can increase as per the user wish and the size is not fixed, it can vary.                Suppose first node of linked list is allocated with an address 1008. Its graphical representation looks like the figure shown below:       Suppose next node is allocated at an address 506, so the list becomes,   Suppose next node is allocated with an address with an address 10,s the list become, The other way to represent the linked list is as shown below:  In the above representation the data stored in the linked list is “INDIA”, the information part of each node contains one character. The external pointer root points to first node’s address 1005. The link part of the node containing information I contains 1007, the address of