Java How To Program (Early Objects)
Java How To Program (Early Objects)
10th Edition
ISBN: 9780133807943
Author: Deitel, Paul
Publisher: Pearson Education
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Chapter 5, Problem 17.1E

(Pythagorean Triples) A right triangle can have sides whose lengths are all integers. The set or three integer values for the lengths or the sides of a right triangle is called a Pythagorean triple. The lengths of the three sides must satisfy the relationship that the sum of the squares of two of the sides is equal to the square of the hypotenuse. Write an application that displays a table of the Pythagorean triples for side1, Side2 and the hypotenuse, all no larger than 500. Use a triple-nested for loop that tries all possibilities. This method is an example of “brute-force” computing. You’ll learn in more advanced computer-science courses that for many interesting problems there’s no known algorithmic approach other than using sheer brute force.

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Exercise 1: (Design of algorithm to find greatest common divisor) In mathematics, the greatest common divisor (gcd) of two or more integers is the largest positive integer that divides each of the integers. For example, the gcd of 8 and 12 is 4. Why? Divisors of 8 are 1, 2, 4, 8. Divisors of 12 are 1, 2, 4, 6, 12 Thus, the common divisors of 8 and 12 are 1, 2, 4. Out of these common divisors, the greatest one is 4. Therefore, the greatest common divisor (gcd) of 8 and 12 is 4. Write a programming code for a function FindGCD(m,n) that find the greatest common divisor. You can use any language of Java/C++/Python/Octave. Find GCD Algorithm: Step 1 Make an array to store common divisors of two integers m, n. Step 2 Check all the integers from 1 to minimun(m,n) whether they divide both m, n. If yes, add it to the array. Step 3 Return the maximum number in the array.
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Chapter 5 Solutions

Java How To Program (Early Objects)

Ch. 5 - State whether each of the following is true or...Ch. 5 - Prob. 2.5SRECh. 5 - State whether each of the following is true or...Ch. 5 - Prob. 2.7SRECh. 5 - Prob. 3.1SRECh. 5 - Prob. 3.2SRECh. 5 - Write a Java statement or a set of Java statements...Ch. 5 - Prob. 3.4SRECh. 5 - Find the error in each of the following code...Ch. 5 - Find the error in each of the following code...Ch. 5 - Find the error in each of the following code...Ch. 5 - Find the error in each of the following code...Ch. 5 - Describe the four basic elements of...Ch. 5 - Compare and contrast the while and for iteration...Ch. 5 - Prob. 3.1ECh. 5 - Compare and contrast the break and continue...Ch. 5 - Find and correct the error(s) in each of the...Ch. 5 - The following code should print whether integer...Ch. 5 - Prob. 5.3ECh. 5 - Find and correct the error(s) in each of the...Ch. 5 - What does the following program do? 1 // Exercise...Ch. 5 - (Find the Smallest Value) Write an application...Ch. 5 - (Calculating the Product of Odd Integers) Write an...Ch. 5 - (Factorials) Factorials are used frequently in...Ch. 5 - (Modified Compound-Interest Program) Modify the...Ch. 5 - (Triangle Printing Program) Write an application...Ch. 5 - (Bar-Chart Printing Program) One interesting...Ch. 5 - (Calculating Sales) An online retailer sells five...Ch. 5 - (Modified Compound-Interest Program) Modify the...Ch. 5 - Assume that i = 1, j = 2, k = 3 and m = 2. What...Ch. 5 - (Calculating the Value of ) Calculate the value of...Ch. 5 - (Pythagorean Triples) A right triangle can have...Ch. 5 - (Modified Triangle-Printing Program) Modify...Ch. 5 - (De Morgans Laws) In this chapter, we discussed...Ch. 5 - (Diamond-Printing Program) Write an application...Ch. 5 - Prob. 21.1ECh. 5 - A criticism of the break statement and the...Ch. 5 - What does the following program segment do? 1 for...Ch. 5 - Describe in general how youd remove any continue...Ch. 5 - Prob. 25.1ECh. 5 - (Facebook User Base Growth) According to...
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