Listing multiples of each number until a common value is found:
';
html += table;
html += '
First common multiple = LCM = ' + result.toLocaleString() + '
';
}
html += '
';
document.getElementById('lcmMethod3Body').innerHTML = html;
},
toggleMethod: function (n) {
var body = document.getElementById('lcmMethod' + n + 'Body');
var icon = document.getElementById('lcmToggle' + n + 'Icon');
body.classList.toggle('lcm-show');
icon.innerHTML = body.classList.contains('lcm-show') ? '▲' : '▼';
},
clear: function () {
document.getElementById('lcmNumbersInput').value = '';
document.getElementById('lcmResultSection').classList.remove('lcm-show');
document.getElementById('lcmError').classList.remove('lcm-show');
for (var n = 1; n <= 3; n++) {
document.getElementById('lcmMethod' + n + 'Body').classList.remove('lcm-show');
document.getElementById('lcmToggle' + n + 'Icon').innerHTML = '▼';
}
this.lastResult = null;
},
exportPDF: function () {
if (!this.lastResult) { alert('Please calculate LCM first.'); return; }
var self = this;
var jsPDF = window.jspdf.jsPDF;
var doc = new jsPDF();
var green = [61, 122, 42];
var dark = [45, 55, 72];
var light = [113, 128, 150];
var nums = this.lastResult.nums;
var result = this.lastResult.result;
doc.setFontSize(22);
doc.setTextColor(green[0], green[1], green[2]);
doc.setFont(undefined, 'bold');
doc.text('LCM Calculator', 105, 20, { align: 'center' });
doc.setFontSize(11);
doc.setTextColor(light[0], light[1], light[2]);
doc.setFont(undefined, 'normal');
doc.text('Least Common Multiple - Step-by-Step Report', 105, 28, { align: 'center' });
doc.setDrawColor(green[0], green[1], green[2]);
doc.setLineWidth(0.5);
doc.line(20, 32, 190, 32);
doc.setFillColor(230, 244, 225);
doc.roundedRect(20, 38, 170, 24, 3, 3, 'F');
doc.setFontSize(9);
doc.setTextColor(light[0], light[1], light[2]);
doc.text('Least Common Multiple (LCM)', 105, 45, { align: 'center' });
doc.setFontSize(22);
doc.setTextColor(green[0], green[1], green[2]);
doc.setFont(undefined, 'bold');
doc.text(result.toLocaleString(), 105, 55, { align: 'center' });
var y = 72;
doc.setFontSize(10);
doc.setTextColor(dark[0], dark[1], dark[2]);
doc.setFont(undefined, 'normal');
doc.text('Input Numbers: ' + nums.join(', '), 20, y);
doc.text('Count: ' + nums.length, 160, y);
y += 12;
// Method 1
doc.setFillColor(green[0], green[1], green[2]);
doc.rect(20, y - 5, 170, 8, 'F');
doc.setFontSize(10); doc.setTextColor(255, 255, 255); doc.setFont(undefined, 'bold');
doc.text('Method 1: Prime Factorization', 22, y);
y += 10;
var allFactors = {};
nums.forEach(function(n) {
var f = self.primeFactors(n);
doc.setFontSize(9); doc.setTextColor(dark[0], dark[1], dark[2]); doc.setFont(undefined, 'normal');
doc.text(n + ' = ' + self.factorString(n), 22, y);
y += 6;
Object.keys(f).forEach(function(p) {
if (!allFactors[p] || allFactors[p] < f[p]) allFactors[p] = f[p];
});
});
var parts = [];
Object.keys(allFactors).sort(function(a,b){return a-b;}).forEach(function(p) {
parts.push(allFactors[p] > 1 ? p + '^' + allFactors[p] : String(p));
});
doc.setFontSize(9); doc.setTextColor(dark[0], dark[1], dark[2]);
doc.text('Highest powers: ' + parts.join(' x '), 22, y); y += 6;
doc.setFont(undefined, 'bold'); doc.setTextColor(green[0], green[1], green[2]);
doc.text('LCM = ' + parts.join(' x ') + ' = ' + result.toLocaleString(), 22, y); y += 12;
// Method 2
if (y > 250) { doc.addPage(); y = 20; }
doc.setFillColor(green[0], green[1], green[2]);
doc.rect(20, y - 5, 170, 8, 'F');
doc.setFontSize(10); doc.setTextColor(255, 255, 255); doc.setFont(undefined, 'bold');
doc.text('Method 2: GCF / GCD Method', 22, y); y += 10;
var current = nums[0];
doc.setFontSize(9); doc.setTextColor(dark[0], dark[1], dark[2]); doc.setFont(undefined, 'normal');
doc.text('Start with: ' + current, 22, y); y += 6;
for (var i = 1; i < nums.length; i++) {
var next = nums[i];
var g = self.gcd(current, next);
var newLcm = (current / g) * next;
if (y > 270) { doc.addPage(); y = 20; }
doc.text('GCF(' + current.toLocaleString() + ', ' + next.toLocaleString() + ') = ' + g, 22, y); y += 5;
doc.text('LCM(' + current.toLocaleString() + ', ' + next.toLocaleString() + ') = (' + current.toLocaleString() + ' x ' + next.toLocaleString() + ') / ' + g + ' = ' + newLcm.toLocaleString(), 22, y); y += 7;
current = newLcm;
}
doc.setFont(undefined, 'bold'); doc.setTextColor(green[0], green[1], green[2]);
doc.text('LCM(' + nums.join(', ') + ') = ' + result.toLocaleString(), 22, y); y += 12;
// Method 3
if (y > 250) { doc.addPage(); y = 20; }
doc.setFillColor(green[0], green[1], green[2]);
doc.rect(20, y - 5, 170, 8, 'F');
doc.setFontSize(10); doc.setTextColor(255, 255, 255); doc.setFont(undefined, 'bold');
doc.text('Method 3: Listing Multiples (Brute Force)', 22, y); y += 10;
if (result <= 500000 && nums.length <= 5) {
var colW = Math.floor(160 / nums.length);
doc.setFillColor(74, 154, 58); doc.setTextColor(255, 255, 255); doc.setFont(undefined, 'bold'); doc.setFontSize(8);
nums.forEach(function(n, ci) {
doc.rect(20 + ci * colW, y - 4, colW, 7, 'F');
doc.text('x' + n, 20 + ci * colW + 2, y);
});
y += 7;
var maxRow = Math.min(50, result / Math.min.apply(null, nums));
for (var r = 1; r <= maxRow; r++) {
if (y > 270) { doc.addPage(); y = 20; break; }
var isLcmRow = nums.some(function(n) { return n * r === result; });
if (isLcmRow) { doc.setFillColor(212, 234, 205); doc.rect(20, y - 4, colW * nums.length, 6, 'F'); }
doc.setFont(undefined, isLcmRow ? 'bold' : 'normal');
doc.setTextColor(isLcmRow ? green[0] : dark[0], isLcmRow ? green[1] : dark[1], isLcmRow ? green[2] : dark[2]);
doc.setFontSize(8);
nums.forEach(function(n, ci) { doc.text((n * r).toLocaleString(), 20 + ci * colW + 2, y); });
y += 5;
if (isLcmRow) break;
}
y += 4;
doc.setFont(undefined, 'bold'); doc.setTextColor(green[0], green[1], green[2]); doc.setFontSize(9);
doc.text('First common multiple (LCM) = ' + result.toLocaleString(), 22, y);
} else {
doc.setFontSize(9); doc.setTextColor(dark[0], dark[1], dark[2]); doc.setFont(undefined, 'normal');
doc.text('Numbers too large to list multiples. LCM = ' + result.toLocaleString(), 22, y);
}
var pages = doc.internal.getNumberOfPages();
for (var pg = 1; pg <= pages; pg++) {
doc.setPage(pg);
doc.setFontSize(7); doc.setTextColor(light[0], light[1], light[2]); doc.setFont(undefined, 'italic');
doc.text('Generated on ' + new Date().toLocaleString() + ' | Page ' + pg + ' of ' + pages, 105, 287, { align: 'center' });
}
doc.save('lcm-report.pdf');
}
};
if (document.readyState === 'loading') {
document.addEventListener('DOMContentLoaded', function() { LCMCalc.init(); });
} else {
LCMCalc.init();
}
})();
