Given two positive integers, a and b, where a≥b, create a program in python 3 that uses Euclid's Algorithm to find the GCD. A nonpositive input will be marked as "invalid input." Example: gcd of 1785 and 546 Step Equation Quotient and Remainder 0 1785=q0(546)+r01785=q0(546)+r0 q0=3;r0=147q0=3;r0=147 1 546=q1(147)+r1546=q1(147)+r1 q1=3;r1=105q1=3;r1=105 2 147=q2(105)+r2147=q2(105)+r2 q2=1;r2=42q2=1;r2=42 3 105=q3(42)+r3105=q3(42)+r3 q3=2;r3=21q3=2;r3=21 4 42=q4(21)+r442=q4(21)+r4 q4=2;r4=0q4=2;r4=0 The gcd of 1785 and 546 is 21.
Given two positive integers, a and b, where a≥b, create a program in python 3 that uses Euclid's Algorithm to find the GCD. A nonpositive input will be marked as "invalid input." Example: gcd of 1785 and 546 Step Equation Quotient and Remainder 0 1785=q0(546)+r01785=q0(546)+r0 q0=3;r0=147q0=3;r0=147 1 546=q1(147)+r1546=q1(147)+r1 q1=3;r1=105q1=3;r1=105 2 147=q2(105)+r2147=q2(105)+r2 q2=1;r2=42q2=1;r2=42 3 105=q3(42)+r3105=q3(42)+r3 q3=2;r3=21q3=2;r3=21 4 42=q4(21)+r442=q4(21)+r4 q4=2;r4=0q4=2;r4=0 The gcd of 1785 and 546 is 21.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Given two positive integers, a and b, where a≥b, create a program in python 3 that uses Euclid's
Example: gcd of 1785 and 546
Step | Equation | Quotient and Remainder |
---|---|---|
0 | 1785=q0(546)+r01785=q0(546)+r0 | q0=3;r0=147q0=3;r0=147 |
1 | 546=q1(147)+r1546=q1(147)+r1 | q1=3;r1=105q1=3;r1=105 |
2 | 147=q2(105)+r2147=q2(105)+r2 | q2=1;r2=42q2=1;r2=42 |
3 | 105=q3(42)+r3105=q3(42)+r3 | q3=2;r3=21q3=2;r3=21 |
4 | 42=q4(21)+r442=q4(21)+r4 | q4=2;r4=0q4=2;r4=0 |
The gcd of 1785 and 546 is 21.
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