{"id":2645,"date":"2017-07-05T20:44:06","date_gmt":"2017-07-05T17:44:06","guid":{"rendered":"http:\/\/java.mazurok.com\/?p=2645"},"modified":"2017-07-07T01:02:26","modified_gmt":"2017-07-06T22:02:26","slug":"%d0%ba%d0%bb%d0%b0%d1%81%d1%81-%d0%b8%d0%b7%d0%bc%d0%b5%d0%bd%d1%8f%d0%b5%d0%bc%d1%8b%d1%85-%d1%80%d0%b0%d1%86%d0%b8%d0%be%d0%bd%d0%b0%d0%bb%d1%8c%d0%bd%d1%8b%d1%85-%d0%b4%d1%80%d0%be%d0%b1%d0%b5","status":"publish","type":"post","link":"https:\/\/java.mazurok.com\/?p=2645","title":{"rendered":"\u041a\u043b\u0430\u0441\u0441 \u0438\u0437\u043c\u0435\u043d\u044f\u0435\u043c\u044b\u0445 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u0445 \u0434\u0440\u043e\u0431\u0435\u0439"},"content":{"rendered":"

\u0417\u0430\u0434\u0430\u0447\u0430<\/b><\/p>\n

\u041d\u0430\u043f\u0438\u0448\u0438\u0442\u0435 \u043a\u043b\u0430\u0441\u0441 \u0434\u043b\u044f \u0440\u0430\u0431\u043e\u0442\u044b \u0441 \u0438\u0437\u043c\u0435\u043d\u044f\u0435\u043c\u044b\u043c\u0438 (mutable) \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u044b\u043c\u0438 \u0434\u0440\u043e\u0431\u044f\u043c\u0438, \u043f\u043e\u0434\u0433\u043e\u0442\u043e\u0432\u044c\u0442\u0435 \u0434\u043b\u044f \u043d\u0435\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0444\u0435\u0439\u0441.<\/p>\n

\u0422\u0435\u0441\u0442\u044b<\/strong><\/p>\n

\u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435: \u0447\u0435\u0442\u044b\u0440\u0435 \u0446\u0435\u043b\u044b\u0445 \u0447\u0438\u0441\u043b\u0430 — \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u0438 F1, \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c\u00a0 \u0434\u0440\u043e\u0431\u0438 F2<\/p>\n

\u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435: \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0441\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f, \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f, \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f, \u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0434\u0440\u043e\u0431\u0435\u0439 F1 \u0438 F2<\/p>\n\n\n\n\n\n\n\n
\u2116<\/td>\n\u0412\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/td>\n\u0414\u0440\u043e\u0431\u044c F1<\/td>\n\u0414\u0440\u043e\u0431\u044c F2<\/td>\n\u0421\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 F1 \u0438 F2<\/td>\nF1+F2<\/td>\nF1-F2<\/td>\nF1*F2<\/td>\nF1\/F2<\/td>\n<\/tr>\n
1<\/td>\n1 2 2 3<\/td>\n1\/2<\/td>\n2\/3<\/td>\n1\/2<2\/3<\/td>\n7\/6<\/td>\n-1\/6<\/td>\n1\/3<\/td>\n3\/4<\/td>\n<\/tr>\n
2<\/td>\n4 16 3 -5<\/td>\n1\/4<\/td>\n-3\/5<\/td>\n1\/4>-3\/5<\/td>\n-7\/20<\/td>\n17\/20<\/td>\n-3\/20<\/td>\n-5\/12<\/td>\n<\/tr>\n
3<\/td>\n1 7 2 14<\/td>\n1\/7<\/td>\n1\/7<\/td>\n1\/7=1\/7<\/td>\n2\/7<\/td>\n0\/1<\/td>\n1\/49<\/td>\n1\/1<\/td>\n<\/tr>\n
4<\/td>\n2 4 0 4<\/td>\n1\/2<\/td>\n0\/1<\/td>\n1\/2>0\/1<\/td>\n1\/2<\/td>\n1\/2<\/td>\n0\/1<\/td>\nError<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u041a\u043e\u0434<\/strong><\/p>\n

import java.util.Scanner;\r\n\r\nclass Arithmetics {\r\n\t\/**\r\n\t * Returns the greatest common divisor of two numbers\r\n\t * @param a the first number\r\n\t * @param b the second number\r\n\t * @return the greatest common divisor of two numbers\r\n\t*\/\r\n\tpublic static int gcd(int a, int b)\r\n\t{\r\n\t\treturn (b == 0 ? a : gcd(b, a % b));\r\n\t}\r\n}\r\n\r\nclass Fraction {\r\n\tprivate int n, d;\r\n\r\n\t\/**\r\n\t * @param n is an integer number\r\n\t*\/\t\r\n\tpublic Fraction(int n) { setValue(n); }\r\n\t\/**\r\n\t * @param n is the numerator of a fraction\r\n\t * @param d is the denominator of a fraction\r\n\t*\/\r\n\tpublic Fraction(int n, int d) throws IllegalArgumentException {\r\n\t\tsetValue(n, d);\r\n\t}\r\n\tpublic Fraction(Fraction f) {\r\n\t\tsetValue(f);\r\n\t}\r\n\t\r\n\tpublic int getNumerator() { return n; }\r\n\tpublic int getDenominator() { return d; }\r\n\t\r\n\tpublic void setNumerator(int n) { setValue(n, this.d); }\r\n\tpublic void setDenominator(int d) { setValue(this.n, d); }\r\n\t\/**\r\n\t * Assigns a new fraction from an integer number\r\n\t*\/\r\n\tpublic void setValue(int n) { this.n = n; this.d = 1; }\r\n\t\/**\r\n\t * Assigns a new value to the fraction\r\n\t * @param n is the new numerator of a fraction\r\n\t * @param d is the new denominator of a fraction\r\n\t*\/\r\n\tpublic void setValue(int n, int d) throws IllegalArgumentException {\r\n\t\tif (d == 0)\r\n\t\t\tthrow new IllegalArgumentException(\"Error: Denominator cannot be equal to zero\");\r\n\t\tthis.n = n;\r\n\t\tthis.d = d;\r\n\t\treduce();\r\n\t}\r\n\tpublic void setValue(Fraction f) { this.n = f.n; this.d = f.d; }\r\n\t\r\n\tprivate void reduce() {\r\n\t\tint gcd = Arithmetics.gcd(n, d);\r\n\t\tn \/= gcd;\r\n\t\td \/= gcd;\r\n\t\tif (d < 0) { d *= -1; n *= -1; }\r\n\t}\r\n\tprivate void add(int n, int d) {\r\n\t\tthis.n = this.n * d + n * this.d;\r\n\t\tthis.d *= d;\r\n\t\treduce();\r\n\t}\r\n\tprivate void substract(int n, int d) {\r\n\t\tadd(n * -1, d);\r\n\t}\r\n\tprivate void multiply(int n, int d) {\r\n\t\tthis.n *= n;\r\n\t\tthis.d *= d;\r\n\t\treduce();\r\n\t}\r\n\tprivate void divide(int n, int d) {\r\n\t\tthis.n *= d;\r\n\t\tthis.d *= n;\r\n\t\treduce();\r\n\t}\r\n\t\r\n\t\/**\r\n\t * Adds an integer number to the fraction\r\n\t * @param n is a number\r\n\t*\/\r\n\tpublic void add(int n) {\r\n\t\tadd(n, 1);\r\n\t}\r\n\t\/** Adds another fraction to the fraction\r\n\t * @param f is another fracton\r\n\t*\/\r\n\tpublic void add(Fraction f) {\r\n\t\tadd(f.n, f.d);\r\n\t}\r\n\t\r\n\t\/**\r\n\t * Subsracts an integer number from the fraction\r\n\t * @param n is a number\r\n\t*\/\r\n\tpublic void substract(int n) { add(n * -1); }\r\n\t\/** Substracts another fraction from the fraction\r\n\t * @param f is another fracton\r\n\t*\/\r\n\tpublic void substract(Fraction f) {\r\n\t\tsubstract(f.n, f.d);\r\n\t}\r\n\t\r\n\t\/**\r\n\t * Multiplies the fraction by an integer number\r\n\t * @param n is a number\r\n\t*\/\r\n\tpublic void multiply(int n) {\r\n\t\tmultiply(n, 1);\r\n\t}\r\n\t\/** Multiplies the fraction by another fraction\r\n\t * @param f is another fracton\r\n\t*\/\r\n\tpublic void multiply(Fraction f) {\r\n\t\tmultiply(f.n, f.d);\r\n\t}\r\n\t\r\n\t\/**\r\n\t * Divides the fraction by an integer number\r\n\t * @param n is a number\r\n\t*\/\r\n\tpublic void divide(int n) throws ArithmeticException {\r\n\t\t\t\tif (n == 0) throw new ArithmeticException(\"Error: Division by zero\");\r\n\t\tdivide(n, 1);\r\n\t}\r\n\t\/** Divides the fraction by another fraction\r\n\t * @param f is another fracton\r\n\t*\/\r\n\tpublic void divide(Fraction f) throws ArithmeticException {\r\n\t\tif (f.n == 0) throw new ArithmeticException(\"Error: Division by zero\");\r\n\t\tdivide(f.n, f.d);\r\n\t}\r\n\t\r\n\t\/**\r\n\t * Compares the fraction to another fraction by equality\r\n\t * @param f is another fraction\r\n\t * @return true in case of equuality or false otherwise\r\n\t *\/\r\n\tpublic boolean equals(Fraction f) {\r\n\t\treturn (n == f.n && d == f.d);\r\n\t}\r\n\t\/**\r\n\t * Compares the fraction to another fraction\r\n\t * @param f is another fraction\r\n\t * @return 0 if the fraction equals to another fraction, 1 if greater, -1 if lesser\r\n\t *\/\r\n\tpublic int compareTo(Fraction f) {\r\n\t\treturn (equals(f)) ? 0 : (n * f.d - f.n * d > 0) ? 1 : -1;\r\n\t}\r\n\t\r\n\t\/** \r\n\t * String representation of the fraction\r\n\t * @return the string representation of the fraction in such form: numerator\/denominator\r\n\t *\/\r\n\tpublic String toString() {\r\n\t\treturn n + \"\/\" + d;\r\n\t}\r\n}\r\n\r\npublic class Main {\r\n\tpublic static void main(String[] args) {\r\n\t\ttry {\r\n\t\t\tScanner scanner = new Scanner(System.in);\r\n\t\t\tint n1 = scanner.nextInt();\r\n\t\t\tint d1 = scanner.nextInt();\r\n\t\t\tint n2 = scanner.nextInt();\r\n\t\t\tint d2 = scanner.nextInt();\r\n\t\t\t\r\n\t\t\tFraction f1 = new Fraction(n1, d1);\r\n\t\t\tString f1Str = f1.toString();\r\n\t\t\tSystem.out.println(\"The first fraction is \" + f1Str);\r\n\t\t\tFraction f2 = new Fraction(n2, d2);\r\n\t\t\tString f2Str = f2.toString();\r\n\t\t\tSystem.out.println(\"The second fraction is \" + f2Str);\r\n\t\t\tFraction temp = new Fraction(f1);\r\n\t\t\t\r\n\t\t\tint comparisonResult = f1.compareTo(f2);\r\n\t\t\tchar relationSign = (comparisonResult > 0) ? '>' : (comparisonResult < 0) ? '<' : '=';\r\n\t\t\tSystem.out.println(f1Str + \" \" + relationSign + \" \" + f2Str);\r\n\t\t\t\r\n\t\t\ttemp.add(f2);\r\n\t\t\tSystem.out.println(f1Str + \" + \" + f2Str + \" = \" + temp.toString());\r\n\t\t\ttemp.setValue(f1);\r\n\t\t\t\r\n\t\t\ttemp.substract(f2);\r\n\t\t\tSystem.out.println(f1Str + \" - \" + f2Str + \" = \" + temp.toString());\r\n\t\t\ttemp.setValue(f1);\r\n\t\t\t\r\n\t\t\ttemp.multiply(f2);\r\n\t\t\tSystem.out.println(f1Str + \" * \" + f2Str + \" = \" + temp.toString());\r\n\t\t\ttemp.setValue(f1);\r\n\t\t\t\r\n\t\t\ttry {\r\n\t\t\t\ttemp.divide(f2);\r\n\t\t\t\tSystem.out.println(f1Str + \" \/ \" + f2Str + \" = \" + temp.toString());\r\n\t\t\t} catch (ArithmeticException e) {\r\n\t\t\t\tSystem.out.println(e.getMessage());\r\n\t\t\t}\r\n\t\t} catch (IllegalArgumentException e) {\r\n\t\t\tSystem.out.println(e.getMessage());\r\n\t\t}\r\n\t}\r\n}<\/pre>\n
\u041a\u043e\u0434 \u0434\u043e\u0441\u0442\u0443\u043f\u0435\u043d \u043d\u0430\u00a0ideone<\/a><\/p>\n
\u041f\u043e\u044f\u0441\u043d\u0435\u043d\u0438\u0435<\/strong><\/p>\n
\u041a\u043b\u0430\u0441\u0441 Arithmetics<\/span> \u0441\u043e\u0434\u0435\u0440\u0436\u0438\u0442 \u043c\u0435\u0442\u043e\u0434 \u0434\u043b\u044f \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f \u041d\u041e\u0414\u00a0public static int gcd(int a, int b)<\/span>.<\/p>\n
\u041a\u043b\u0430\u0441\u0441\u00a0Fraction<\/span>\u00a0 \u043f\u0440\u0435\u0434\u043d\u0430\u0437\u043d\u0430\u0447\u0435\u043d \u0434\u043b\u044f \u0440\u0430\u0431\u043e\u0442\u044b \u0441 \u0438\u0437\u043c\u0435\u043d\u044f\u0435\u043c\u044b\u043c\u0438 \u0434\u0440\u043e\u0431\u044f\u043c\u0438. \u0415\u0433\u043e \u043c\u0435\u0442\u043e\u0434\u044b \u043f\u0440\u0435\u0434\u043e\u0441\u0442\u0430\u043b\u044f\u044e\u0442 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0442\u0430\u043a\u0438\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f \u0441 \u0434\u0440\u043e\u0431\u044c\u044e:<\/p>\n